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simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. connected semi-simple algebraic group; Lie algebra; torus; character module; identity component; group of D-fixed elements; adjoint action; weighted Dynkin diagrams; number of nilpotent orbits; prehomogeneous vector space N. Kawanaka, Orbits and stabilizers of nilpotent elements of a graded semisimple Lie algebra, J. Fac. Sci. Univ. Tokyo Section IA Math. 34(3) (1987), 573--597. | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. Singularities; elliptic functions; modular curves; characteristic of a curve; modular equations | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. holonomic modules; ring of formal power series; simple modules; ring of differential operators; regular singularities; irregular singularities; eigenvector; finite field extension; actions; Morita equivalence Den Essen, A. Van; Levelt, A.: An explicit description of all simple K[[X]][\partial]-modules. (1992) | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. super Riemann surfaces; dressed moduli spaces; Picard group; Picard functor; Picard variety; abelian conformal field theory; vertex operator algebra; Heisenberg algebra; conformal blocks; theta functions of higher level; infinite-dimensional Lie algebras; supercurves; Beilinson-Bernstein localization; Fock representation | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. quotients by vector fields; characteristic p; discriminantal; locus; semi-simple derivations; quotient; singularities; Cohen-Macaulay singularities; p-radical descent; class groups of normal domains Aramova, A., Avramov, L.: Singularities of quotients by vector fields in characteristicp. Math. Ann.273, 629--645 (1986) | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. Lie algebras of current type; local cocycles; central extensions; Krichever-Novikov type algebras; Tyurin parameters | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. semisimple algebraic groups; prounipotent groups; algebraic group schemes; Lie algebras; linear representations Andy R. Magid, Prounipotent prolongation of algebraic groups, Recent progress in algebra (Taejon/Seoul, 1997) Contemp. Math., vol. 224, Amer. Math. Soc., Providence, RI, 1999, pp. 169 -- 187. | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. contractions; Lie algebras; affine algebraic groups; affine group schemes Burde, Dietrich, Contractions of Lie algebras and algebraic groups, Arch. Math. (Brno), 43, 5, 321-332, (2007) | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. linear algebraic groups; Lie algebras; modality of parabolic subgroups Jürgens, U.; Röhrle, G.: MOP - algorithmic modality analysis for parabolic group actions. Experimental math. 11, No. no. 1, 57-67 (2002) | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. equianalytic singularity; flat families of embedded reduced curves; number of singular points; Hilbert scheme; singularities of given analytic type Greuel G.-M., Lossen C.,Equianalytic and equisingular families of curves on surfaces, Manuscripta Math.,91 (1996), 323--342. | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. classification of Hilbert modular surfaces; geometric genus; elliptic surfaces; surfaces of general type | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. Shimura pair of Hodge type; Shimura variety; projective integral model; abelian and semiabelian schemes, Mumford-Tate groups; Néron models Vasiu, A.: Projective integral models of Shimura varieties of Hodge type with compact factors. J. Reine Angew. Math. \textbf{618}, 51-75 (2008) | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. deformation theory; differential graded Lie algebras; cohomology jump loci; local systems; vector bundles; Higgs bundles; representations of fundamental groups Budur, N. and Wang, B., ' Cohomology jump loci of differential graded Lie algebras', \textit{Compos. Math.}151 ( 2015) 1499- 1528. MR3383165. | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. finite group schemes; discrete valuation ring; Hilbert-Blumenthal Abelian variety; real multiplication; Hilbert modular forms; Diophantine equations Ellenberg, J. S.: Finite flatness of torsion subschemes of Hilbert -- blumenthal abelian varieties. J. reine angew. Math. 532, 1-32 (2001) | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. real analytic germs, involution, simple invariant Nash germs, equivariant blow-Nash equivalence, ABCDEF-singularities, equivariant zeta functions, equivariant virtual Poincaré series | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. infinite dimensional \(\mathbb{Z}\)-graded Lie algebra; Lie algebra of differential operators with polynomial conditions; prehomogeneous vector space; infinitesimal Weil representation; short gradations of simple Lie algebras Rubenthaler, H., Une dualité du type de Howe en dimension infinie, C. R. acad. sci. Paris, ser. I, 314, 6, 435-440, (1992) | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. monodromy groups; Guralnick-Thompson conjecture; finite simple groups; compact Riemann surfaces; nonabelian composition factors; primitive permutation groups; numbers of orbits; finite classical groups Frohardt, D; Magaard, K, Composition factors of monodromy groups, Ann. Math., 154, 327-345, (2001) | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. singularities of mappings; Thom-Mather theory; nice dimensions; right-left equivalence; contact equivalence; stability; versal unfoldings; finite determinacy; vector fields and flows; local conical structure; Thom-Boardman singularities; topological stability; unstable map-germs; unipotent algebraic groups; critical space; discriminants; bifurcation sets; isosingular locus; logarithmic tangent space; logarithmic transversality; stable perturbations; disentanglement of a map; image Milnor numbers; discriminant Milnor numbers; free and almost free divisors; complete intersections; Fitting ideals; conductor ideals; multiple point spaces; knot theory; Reidemeister moves; rank condition; parameterised hypersurfaces; maximal Cohen-Macaulay modules; duality; Gorenstein rings; canonical module; triple points | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. Feynman integral; Feynman diagram; Tate motive; perturbative quantum field theory; period; oscillatory integral; Gelfand-Leray form; Connes-Kreimer theory; Radon transform; Hodge structure; noncommutative geometry; Galois group; supermanifold; Kirchhoff-Symaznik polynomial; dimensional regularization; BPHZ renormalization; Tannakian category; Grothendieck ring; monodromy; weight fibration; vanishing cycles; topological simplex; singularities; mixed Tate; tubular neighborhood; Kummer motive; Milnor fiber; motivic sheaves; normal crossings; Picard-Fuchs equation; Riemann-Hilbert correspondence; Hopf algebra; Igusa L-function Marcolli, M.: Feynman Motives. World Scientific, Singapore (2010) | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. simple algebraic groups; subgroup structure; generation of finite simple groups; covers of curves; maximal subgroups; primitive permutation groups Robert M. Guralnick, Some applications of subgroup structure to probabilistic generation and covers of curves, Algebraic groups and their representations (Cambridge, 1997) NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci., vol. 517, Kluwer Acad. Publ., Dordrecht, 1998, pp. 301 -- 320. | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. prime ideals; group actions; affine algebraic groups; algebras of regular functions Lorenz, M.: Algebraic group actions on noncommutative spectra. Transform. Groups 14(3), 649--675 (2009) | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. Picard groups; Hilbert schemes of curves | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. complex finite-dimensional Lie algebra; generic point; variety of structure constants; algebraic affine variety; irreducible components; nilpotent Lie algebras; \({bbfZ}_ 2\)-Eilenberg-MacLane spectrum; bo- essential complex; Brown-Gitler spectrum; bounded torsion theorem; geometric dimension of vector bundles; \(E_ 2\)-term Kirillov, A.A.; Neretin, Y.A.; The Variety An of n-Dimensional Lie Algebra Structures; Am. Math. Soc. Transl.: 1987; Volume 137 ,21-30. | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. finite dimensional modules; finitely generated algebras; indecomposable Auslander-Reiten quivers; degenerations of modules; directing modules; tame tilted algebras; quiver representations; indecomposable modules; complete intersections; categories of modules Grzegorz Bobiński and Andrzej Skowroński, Geometry of directing modules over tame algebras, J. Algebra 215 (1999), no. 2, 603 -- 643. | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. classification of crystalline representations; classification of \(p\)-divisible groups; finite flat group schemes; crystalline representation with Hodge-Tate weights Kisin, M., Crystalline representations and \textit{F}-crystals, Algebraic geometry and number theory, 459-496, (2006), Birkhäuser: Birkhäuser, Boston, MA | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. Grassmann varieties; Chow ring; symmetric variety; semisingle adjoint group; root systems; Poincaré series; homogeneous spaces; invariant algebras; finite groups; reflections | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. algebraic groups; group actions on varieties; geometric invariant theory; quotients; reductive groups; Lie algebras; Hopf algebras | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. automorphism groups of affine varieties; ind-groups; Lie algebras of ind-groups; vector fields; affine \(n\)-spaces | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. sheaves of conformal blocks; Galois coverings of curves; parahoric Bruhat-Tits groups; affine Lie algebras | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. signature of Milnor fiber; splice type singularities; Casson invariant Némethi, A; Okuma, T, On the Casson invariant conjecture of Neumann-wahl, J. Algebraic Geom., 18, 135-149, (2009) | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. zeta functions of groups; finitely generated nilpotent groups; arithmetic of nilpotent groups; subgroup growth; Lie algebra zeta function; cone integral; ghost zeta function; Euler product of uniformly rational functions; meromorphic functions M.P.F. du Sautoy, L. Woodward, \(Zeta Functions of Groups and Rings\). Lecture Notes in Mathematics, vol. 1925 (Springer, Berlin, 2008) | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. simply-connected affine group schemes; profinite completions; arithmetic groups of split type Weigel, Thomas, On the profinite completion of arithmetic groups of split type.Lois d'algèbres et variétés algébriques, Colmar, 1991, Travaux en Cours 50, 79-101, (1996), Hermann, Paris | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. congruence subgroups; level one; subvarieties of general type; Hilbert modular variety; minimality property; automorphism group; modular function field; weights of automorphy factors; Hilbert modular group S. Tsuyumine, ``Multitensors of differential forms on the Hilbert modular variety and on its subvarieties'', Math. Ann.274 (1986) no. 4, p. 659-670 ##img## Creative Commons License BY-ND ISSN : 2429-7100 - e-ISSN : 2270-518X | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. linear algebraic groups; representations of affine algebraic groups; Jordan-Chevalley decomposition; conjugacy theorems; Borel subgroups; maximal tori; reductive groups; Lie algebras; Weyl group; root system | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. involutions of orthogonal type; central simple algebras; rational points; Brauer-Severi varieties | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. Hirzebruch curves; Hilbert modular surfaces; Klein's quartic curve; modular curves; modular groups; Fricke moduli; automorphic functions | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. Schur index; division algebra of fractions; crossed products; finite- dimensional division algebras; finite groups; multiplicative groups | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. hereditary orders; central simple algebras; Severi-Brauer schemes; Severi-Brauer varieties; Chow groups; Artin models Emmanuelle Frossard, Fibres dégénérées des schémas de Severi-Brauer d'ordres, J. Algebra 198 (1997), no. 2, 362 -- 387 (French). | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. representation growth; Igusa zeta function; points of schemes over finite ring; complete intersection; rational singularities; representation zeta function | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. algebraic groups; group actions on varieties; geometric invariant theory; quotients; reductive groups; Lie algebras; Hopf algebras Santos, W.F., Rittatore, A.: Actions and invariants of algebraic groups, Pure and Applied Mathematics (Boca Raton), vol. 269. Chapman & Hall/CRC, Boca Raton (2005) (\textbf{Zbl 1079.14053}) | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. surfaces isogenous to a product of curves; finite groups; mapping class groups; moduli spaces; surfaces of general type Penegini, M.: Surfaces isogenous to a product of curves, braid groups and mapping class groups. In: Beauville Surfaces and Groups, Springer Proceedings in Math. and Stats. pp. 129-148 (2015) | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. quivers; canonical algebras; hereditary algebras; rational invariants; representation types; varieties of modules; tame representation type Carroll, A., Chindris, C.: On the invariant theory of acyclic gentle algebras. To appear in Transactions of the American Mathematical Society. Preprint available at arXiv:1210.3579 [math.RT] (2012) | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. parabolic subgroups; general linear groups; numbers of orbits; irreducible components; complement of Richardson orbit; nilradical; Lie algebras; unipotent radical DOI: 10.1007/s00209-011-0920-9 | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. semi-invariants of quivers; cofree representations; modules of covariants; complete intersections; Dynkin type quivers Carol Chang and Jerzy Weyman, Representations of quivers with free module of covariants, J. Pure Appl. Algebra 192 (2004), no. 1-3, 69 -- 94. | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. profinite completion; profinite homotopy groups; étale homotopy type of schemes Boggi, M.: The congruence subgroup property for the hyperelliptic Teichmüller modular, group. arXiv:0803.3841v3 (2011) | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. graded algebras; central simple algebras; Schilling valuations; algebra of central quotients; valued division algebras; tame algebras; associated graded algebra; graded Brauer groups; valued algebras; decompositions M'hammed Boulagouaz, Le gradué d'une algèbre à division valuée, Comm. Algebra 23 (1995), no. 11, 4275 -- 4300 (French). | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. Floer cohomology; Fukaya category; \(A_\infty\)-algebras; triangulated category of singularities; McKay correspondence P. Seidel, Homological mirror symmetry for the genus two curve. \textit{J. Algebraic Geom.} 20 (2011), no. 4, 727--769.MR 2819674 Zbl 1226.14028 | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. punctual Hilbert schemes; curve singularities of types \(E_6\) and \(E_8\); compactified Jacobians of singular curves Y. S\={}oma, M. Watari: Punctual Hilbert schemes for irreducible curve singularities of types E6and E8. J. Singularites. 8, 135-145, (2014). | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. Bibliography; moduli spaces of algebraic curves; Hilbert schemes; stable algebraic curves; Deligne-Mumford compactification; Brill-Noether theory; geometric invariant theory; families of curves J. Harris, I. Morrison, \textit{Moduli of curves}. Springer 1998. | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. algebras of semi-invariants; quiver representations; semi-simple orbits; slice representations; Schur roots; generic stabilizers; tame quivers D. A. Shmelkin, Locally semisimple representations of quivers, Transform. Groups 12 (2007), 153--173. | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. cohomology of finite Chevalley groups; cohomology stability; connected split reductive group scheme; change of fields; algebra retract; elementary abelian \(\ell \)-subgroups; cohomology algebras; integral cohomology; cohomological restriction map Friedlander, E.: Multiplicative stability for the cohomology of finite Chevalley groups. Comment. Math. Helv.63, 108--113 (1988). Erratum: Comment. Math. Helv.64, 348 (1989) | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. Artin group actions; derived categories; McKay correspondence; Fourier-Mukai functors; Dynkin diagrams; universal deformation of threefolds; derived autoequivalences Szendroi, Balázs, Artin group actions on derived categories of threefolds, J. Reine Angew. Math., 572, 139-166, (2004) | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. almost simple algebraic groups; irreducible representations; dominant weights; tensor multiplicities; twining formulas; saturation problems; geometric Satake correspondence; affine Grassmannians; Satake bases; tropical points; Dynkin automorphisms; tensor invariants Hong, J; Shen, L, Tensor invariants, saturation problems, and Dynkin automor-phisms, Adv. Math., 285, 629-657, (2015) | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. surfaces of general type; fibrations; fundamental groups of algebraic surfaces; Shafarevich conjecture; holomorphic convexity; finite group actions on varieties; base change | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. crystalline cohomology; representation theory; algebraic groups of Lie type; plane projective curves; Frobenius morphism; filtrations; Weyl modules Haastert, B.; Jantzen, J. C.: Filtrations of the discrete series of \(SL2(q)\) via crystalline cohomology. J. algebra 132, No. 1, 77-103 (1990) | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. quantum groups; coordinate rings of quantum matrices; algebras of coinvariants; invariant theory; reflection equation algebras; harmonic polynomials Aizenbud, A.; Yacobi, O., A quantum analogue of kostant's theorem for the general linear group, J. Algebra, 343, 183-194, (2011) | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. Jacobians of modular curves; component groups; resolution of singularities Conrad, Brian; Edixhoven, Bas; Stein, William, \(J_1(p)\) has connected fibers, Doc. Math., 8, 331-408, (2003) | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. singular cubics; isogenies; torsion points; elliptic curves over finite fields; elliptic curves over local fields; Selmer groups; duality; rational torsion; heights; complex multiplication; integral points; Galois representations; survey; group law; endomorphism ring; Weil pairing; elliptic functions; formal group; Shafarevich-Tate groups; \(L\)-series; Tate curves; descent; conjecture of Birch and Swinnerton-Dyer Silverman, J. H.: A survey of the arithmetic theory of elliptic curves. Modular forms and Fermat's last theorem (1997) | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. algebraic cycles; Chow groups; motives; Bloch's conjecture; Bloch-Beilinson filtration; hyperkähler varieties; \(K3\) surfaces; Hilbert schemes; non-symplectic involution; multiplicative Chow-Künneth decomposition; ``spread'' of algebraic cycles in a family | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. finite classical groups; fixed point ratios; primitive permutation groups; monodromy groups; permutation representations; finite almost simple groups; maximal subgroups of classical groups 10.1016/j.jalgebra.2007.01.011 | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. rational surface; coarse surface classification; Picard modular surfaces; ball isomorphism group; Picard modular groups; Chern invariants; surface of general type Jan-Michael Feustel, Zur groben Klassifikation der Picardschen Modulflächen, Math. Nachr. 118 (1984), 215 -- 251 (German). | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. connected hereditary finite dimensional algebra; regular Lambda-modules; coherent sheaves; noncommutative projective curve; singularity type; Dynkin diagram Lenzing, H.: Curve singularities arising from the representation theory of tame hereditary algebras. To appear in: Proceedings of the fourth ICRA Ottawa 1984 | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. quiver moduli; framed quiver moduli; Grassmannians of submodules; finite dimensional algebras; quivers with oriented cycles S. Fedotov, ''Framed moduli and Grassmannians of submodules,'' Trans. Am. Math. Soc., to appear, arXiv:1010.4761v2. | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. algebraic cycles; Chow groups; motives; finite-dimensional motives; surfaces of general type; Todorov surfaces; \(K3\) surfaces R. Laterveer, Algebraic cycles and Todorov surfaces, to appear in Kyoto J. Math., arXiv:1609.09629. | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. modular representations; elementary Abelian groups; modules of constant Jordan type; Chern characters; vector bundles; Chern classes Benson, D, Modules of constant Jordan type with small non-projective part, Algebr. Represent. Theory, 1, 29-33, (2013) | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. minimal degenerations; representation-finite selfinjective algebras; complexities of degenerations; stable Auslander-Reiten quivers | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. complex finite dimensional Lie algebras; versal deformation; jump deformation; orbifold; Maurer-Cartan condition; compability condition; cocycle condition; solvable Lie algebra; nilpotent Lie algebras; stratification of moduli; moduli of algebras Fialowski, A.; Penkava, M., The moduli space of complex \(5\)-dimensional Lie algebras, J. Algebra, 458, 422-444, (2016) | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. finite soluble groups; word sequences; rational points on curves; finite varieties; laws; prosolvable groups; Lang-Weil estimates; algebraic varieties; solvable Lie algebras Grunewald F., Kunyavskiĭ B., Nikolova D., Plotkin E., Two-variable identities in groups and Lie algebras, J. Math. Sci. (N.Y.), 2003, 116(1), 2972--2981 | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. abelian modular functions; algebraic surfaces; arithmetic groups; automorphic forms; automorphic functions; automorphic L-functions; bounded homogeneous domains; cuspidal automorphic representations; discrete groups; distinguished representations; distribution of prime numbers; Euler subgroups; functions of several complex variables; generalized Ramanujan conjecture for (quasi)-split groups Piatetski-Shapiro, I.: Selected works of ilya piatetski-shapiro, (2000) | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. varieties of modules; projective varieties; Grassmannian varieties; radical layerings of modules; finite-dimensional algebras; finite-dimensional representations; path algebras of quivers modulo relations; irreducible components of parameterizing varieties Huisgen-Zimmermann, B.: A hierarchy of parametrizing varieties for representations, in ''Rings, Modules and Representations'' (N.V. Dung, et al., eds.), Contemp. Math. \textbf{480}, 207-239 (2009) | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. subvariety of codimension one of general type; Hilbert modular group; Hilbert modular variety | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. ordered groups; convex subgroups; valuation rings; Henselian domain; schemes of finite presentation; ultraproducts; Greenberg's strong approximation theorem; closed image theorem; infinitesimal Hasse principle; closed image map Moret-Bailly, L.: An extension of Greenberg's theorem to general valuation rings, Manuscripta math. 139, 153-166 (2012) | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. finite group schemes; blocks; cohomological support varieties; \(p\)-points; Hochschild cohomology; flat maps; simple modules; group algebras; cocommutative Hopf algebras | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. cluster algebras; introduction; clusters of finite type; cluster complexes; generalized associahedra; Grassmann varieties | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. algebraic groups; irreducible representations; Hopf algebras; Lie algebras; unipotent algebraic groups; tensor product; semisimple group representations; varieties; dimension theory of local rings; tangent spaces; Borel subgroups; Galois cohomology; automorphism groups; weights; universal enveloping algebra Hochschild, G.P.: Basic theory of algebraic groups and Lie algebras. Graduate Texts Math. \textbf{75}, (1981) | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. projective geometry; elliptic functions; Differential geometry; Analytical geometry; Correspondence principle; Singularities; Curves; Surfaces; Abelian Functions; History of Mathematics; Algebraic Geometry; Functions of a Complex Variable Enriques, F., Chisini O.: Lezioni sulla teoria geometrica delle equazioni e delle funzioni algebriche. 1. Vol. I, II, volume 5 of Collana di Matematica [Mathematics Collection]. Nicola Zanichelli Editore S.p.A., Bologna. Reprint of the 1924 and 1934 editions (1985) | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. Fourier-Mukai transform; moduli space of simple sheaves; Hilbert schemes of points on an abelian variety; K3 surfaces; dual variety; Fourier inversion theorem; Parseval theorem; convolution theorem A. Maciocia, Generalized Fourier-Mukai transforms, J. Reine Angew. Math. 480 (1996), 197-211. Zbl0877.14014 MR1420564 | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. deformation of torsion sheaves; smoothing coherent sheaves of finite length; irreducibility of the Hilbert schemes; Quot scheme C. J. REGO , Deformation of Singular Curves (to appear). | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. universal algebraic geometry; varieties of algebras; geometric equivalence; category invariant; wreath product; free algebras; Lie algebras B. I. Plotkin, Problems in algebra inspired by universal algebraic geometry, Fundam. Prikl. Mat. 10 (2004), no. 3, 181-197. | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. division algebras; cyclic algebras; ramifications; étale cohomology; function fields of surfaces; affine schemes; Brauer groups; central algebras; fields of fractions; cyclic Galois extensions Colliot-Thélène, J.-L.: Conjectures de type local-global sur image des groupes de Chow dans la cohomologie étale. In: Algebraic K-theory (Seattle, WA, 1997), Proceedings of Symposia in Pure Mathematics, vol. 67, pp. 1-12. Amer. Math. Soc., Providence (1999) | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. finite determinacy; pairs of Lie-type; sufficiency of jets; infinitesimal stability; group actions on modules | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. representations of algebras; quivers; determinantal varieties; determinantal ideals; rational singularities; node splitting; moduli spaces | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. modules of finite length; Grothendieck group; rational double point of a surface; resolution of singularities; Chow groups Srinivas, V., Modules of finite length and Chow groups of surfaces with rational double points, Ill. J. math., 31, 36-61, (1987) | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. representations of Weyl groups; complex semi-simple connected Lie group; nilpotent element; Borel subgroups; Cartan subgroup; top homology modules; simple representations; Cartan algebra; holonomic systems on flag manifolds Morrison, S.E.: A Diagrammatic Category for the Representation Theory of \(U_q(sl(n))\). ProQuest LLC, Ann Arbor, MI (2007). Thesis (Ph.D.)-University of California, Berkeley | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. finite dimensional algebras; representations of quivers; Jordan-Hölder sequences; nullcones; Hesselink stratifications; optimal filtrations; saturations; semistable representations; moduli spaces; uniserial representations L. Le Bruyn, Optimal filtrations on representations of finite dimensional algebras, Trans. Amer. Math. Soc., (to appear); see http://win-www.uia.ac.be/u/lebruyn/PAPERS/optimalnew.dvi. | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. cyclic algebras; Arason invariant; biquaternion algebras; Albert form; corestriction of central simple algebras; quartic 2-extensions; Witt kernel; \(n\)-Pfister form; relative Brauer group; Galois cohomology Lam, T.Y.; Leep, D.B.; Tignol, J.-P., Biquaternion algebras and quartic extensions, Publ. math. IHéS, 77, 63-102, (1993) | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. complex semisimple Lie algebras; varieties of totally positive elements; Schubert cells; semisimple complex Lie groups; canonical bases; quantized universal enveloping algebras A. Berenstein and A. Zelevinsky, Total positivity in Schubert varieties. \textit{Comment.} \textit{Math. Helv.}, 72(1997), No.1, 128-166. | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. algebraic cycles; Chow groups; motives; Bloch's conjecture; Bloch-Beilinson filtration; hyperkähler varieties; $K3$ surfaces; Hilbert schemes; Calabi-Yau varieties; non-symplectic automorphisms; multiplicative Chow-Künneth decomposition; splitting property; Beauville-Voisin conjecture; finite-dimensional motive | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. geometric Langlands program; Langlands correspondence for function fields; moduli stack of \(G\)-bundles; Drinfeld-Lafforgue-Vinberg compactification; singularities of the degeneration; miraculous duality of Drinfeld and Gaitsgory; Drinfeld-Wang strange invariant bilinear form S. Schieder, Picard-Lefschetz oscillators for the Drinfeld-Lafforgue-Vinberg degeneration for \(\text{SL}_{2}\), Duke Math. J. 167 (2018), 835--921. | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. connected reductive groups; Chevalley groups; classical groups; cohomology rings; Coxeter numbers; good primes; group actions; Lie algebras; modular representations; nilpotent orbits; Frobenius kernels; root systems; semisimple groups; Testerman's order formula; unipotent elements McNinch G., Abelian reductive subgroups of reductive groups, J. Pure Appl. Algebra 167 (2002), 269-300. | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. prehomogeneous vector spaces; free divisors; linear free divisors; determinantal varieties; Pfaffian varieties; solvable algebraic groups; Cholesky-type factorizations; block representations; exceptional orbit varieties; infinite-dimensional solvable Lie algebras Damon, J.; Pike, B., Solvable groups, free divisors and nonisolated matrix singularities I: towers of free divisors, Ann. Inst. Fourier, 65, 3, 1251-1300, (2015) | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. p-adic L-functions; CM fields; totally complex quadratic extension of a totally real field; Grössencharacter; p-adic measure; p-adic interpolation of Hecke L-function; functional equation; non-analytic Eisenstein series; Hilbert modular group; p-adic differential operators; p-adic Eisenstein series N.M. Katz, ''p-Adic L-functions for CM-fields,'' Invent. Math. 49(3), 199--297 (1978). | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. signature defects; Hilbert-Picard modular cusps; special values of the Shimizu \(L\)-functions; Riemannian manifold; eta invariant | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. von Neumann regular ring; invariant ring of automorphisms of polynomial ring DOI: 10.1016/0021-8693(84)90221-7 | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. Artin conjecture; Kloosterman sum conjecture; functional equations; Sato-Tate conjecture; elliptic curves; Eisenstein series; Calabi-Yau varieties; zeta-functions; modular forms; Hecke operators; new forms; representations of Galois groups; automorphic forms of \(\text{GL}_2\) | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. Hilbert functions of determinantal loci; bitableaux; determinantal polynomials; second fundamental theorem of invariant theory Shreeram S. Abhyankar, Determinantal loci and enumerative combinatorics of Young tableaux, Algebraic geometry and commutative algebra, Vol. I, Kinokuniya, Tokyo, 1988, pp. 1 -- 26. | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. reductive groups; rings of differential operators of invariant rings; simple rings; reducible modules Michel Van den Bergh, Some rings of differential operators for \?\?\(_{2}\)-invariants are simple, J. Pure Appl. Algebra 107 (1996), no. 2-3, 309 -- 335. Contact Franco-Belge en Algèbre (Diepenbeek, 1993). | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. derivations; Hilbert fourteenth problem; additive group actions; invariants; finite generation of invariant ring Daigle, D.; Freudenburg, G., A note on triangular derivations of \(k [X_1, X_2, X_3, X_4]\), Proc. Am. Math. Soc., 129, 3, 657-662, (2001) | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. normal, complete local k-algebra; Brauer group; index; division ring; tree of rational curves; maximal R-orders of finite representation type; indecomposable Cohen-Macaulay modules; central simple K-algebra; power series ring Artin, M.: Two-dimensional orders of finite representation type. Manuscr. Math. 58, 445--471 (1987) | 0 |
simple singularities; McKay correspondence; Hilbert schemes; simple Lie groups; simple Lie algebras; quivers of finite type; modular invariant partition functions; von Neumann algebras; Dynkin diagram Y. Ito, I. Nakamura, \textit{Hilbert schemes and simple singularities}, in: \textit{New Trends in Algebraic Geometry} (Warwick, 1996), London Math. Soc. Lecture Note Ser., Vol. 264, Cambridge Univ. Press, Cambridge, 1999, pp. 151-233. discriminant; Cayley-Hamilton theorem; characteristic functions; commutative operator vessel; commutative \(n\)-tuples of Hilbert space operators; finite rank imaginary parts; Banach space operators; determinantal varieties; Bezoutians Kravitsky, N., Discriminant varieties and discriminant ideals for operator vessels in Banach space, Integral Equations Operator Theory, 23, 4, 441-458, (1995) | 0 |
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