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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. von Neumann regular ring; elementary equivalence; ring of definable 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. Betti cohomology groups; smooth toroidal compactifications; Hilbert modular varieties; representations of Hecke correspondences; eigenvalues | 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. general linear groups; polynomial algebras; natural actions; finite subgroups of \(\text{GL}_ r(K)\); free modules Bryant, R. M.: Groups acting on polynomial algebras. NATO advanced science institutes series C: Mathematical and physical sciences 471 (1995) | 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. cocommutative Hopf algebras; finite algebraic groups; infinitesimal subgroups; uniserial groups; finite representation type Farnsteiner, R., Voigt, D.: On cocommutative Hopf algebras of finite representation type. Adv. Math. 155, 1--22 (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. orbits; action of Lie groups on manifolds; flag varieties; invariant differential operators; multiplicities F. Bien, \textit{Orbits, multiplicities and differential operators}, in: \textit{Representation Theory of Groups and Algebras}, Contemp. Math., Vol. 145, Amer. Math. Soc., Providence, RI, 1993, pp. 199-227. | 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. McKay correspondence; McKay quivers; generalized Dynkin diagrams | 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. rationality of group variety; birational properties of the simple compact algebraic groups of cassical type V. I. Chernousov, ''On the rationality of group compact-varieties of classical type,'' Dokl. Akad. Nauk BSSR,27, No. 12, 1061--1064 (1983). | 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 finite dimensional algebras; quivers with relations; parametrizing varieties; irreducible components; generic properties of representations B. Huisgen-Zimmermann, I. Shipman, Irreducible components of varieties of representations. The acyclic case, preprint. | 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; survey article; modular forms; automorphic forms; L-functions; representation theory of groups; Artin's conjecture; lifting | 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. tensor products of symmetric powers; injective indecomposable modules; tensor products of exterior powers; tilting modules; symmetric functions; listing modules; partitions; Schur superalgebras; group schemes; representations of general linear groups; symmetric groups; Young modules Donkin, S., Symmetric and exterior powers, linear source modules and representations of Schur superalgebras, \textit{Proc. London Math. Soc.}, 83, 647-680, (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. varieties of general type; Betti numbers; arithmetic groups; quaternion 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. resolution of singularities; algorithmic resolution; simultaneous resolution; Hilbert schemes Encinas, S., Nobile, A. and Villamayor, O.: On algorithmic equi-resolution and stratification of Hilbert schemes. Proc. London Math. Soc. 86 (2003), no. 3, 607-648. | 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. noncommutative schemes; quantum planes; Artin-Schelter regular algebras; categories of graded right modules; finite-dimensional modules; Ore extensions; graded automorphisms; point modules Darin R. Stephenson, Quantum planes of weight (1,1,\?), J. Algebra 225 (2000), no. 1, 70 -- 92. | 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. \(n\)-type vector; Hilbert functions of finite point sets; numerical character; complete intersections A. V. Geramita, T. Harima, and, Y. S. Shin, An alternative to the Hilbert function for the ideal of a finite set of points in Pn, Illinois J. Math, in press. | 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. extended Dynkin diagram; 1-dimensional simple singularities; complete intersection; torus embedding; semi-universal deformation K. Wirthmüller , Torus embeddings and deformations of simple singularities of space curves , Acta Math. 157 (1986), 159-241. | 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. bases of invariant rings; indecomposable real finite reflection groups M. L. Mehta, Basic sets of invariant polynomials for finite reflection groups, Comm. Algebra 16 (1988), 1083-1098. | 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 algebras; Brauer groups; Kronecker product of quaternion algebras Tignol, J. -P.: Corps à involution neutralisés par une extension abélienne elémentaire. Lecture notes in math. 844 (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. classification of Hilbert modular surfaces; Hilbert-Blumenthal surfaces; resolution of cusp singularities; Humbert surfaces; moduli Van Der Geer, G., \textit{Hilbert modular surfaces}, Ergebnisse der Mathematik und ihrer Grenzgebiete (3) [Results in mathematics and related areas (3)], Vol. 16, (1988), Springer, Berlin | 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 points; Gröbner basis of the defining ideal; Hilbert-Poincaré series; separators; Cayley-Bacharach schemes; computational aspects of finite set of points Mora, T.; Robbiano, L.: Points in affine and projective spaces. Computational algebraic geometry and commutative algebra, cortona-91, 106-150 (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. level theta structure; Siegel modular groups; Siegel modular forms; moduli space of principally polarized abelian varieties; theta-functions; differential Salvati Manni R.: On the differential of applications defined on moduli spaces of p.p.a.v. with level theta structure. Math. Z. 221, 231--241 (1996) | 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. pfaffian; Azumaya algebra; quadratic form; alternating elements; discriminant module; tensor products of quaternion algebras; involution of orthogonal type; algebra with involution; involutions on central simple algebras; group of special similitudes Knus, M.-A., Parimala, R., Sridharan, R.: Pfaffians, central simple algebras and similitudes. Math. Z.206, 589-604 (1991) | 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. canonical algebras; simple modules; derived category of right \(\Lambda\)- modules; semidirect products; braid groups; exceptional sequences; coherent sheaves on weighted projective lines Meltzer, H.: Exceptional sequences for canonical algebras. Arch. Math. 64, 304--312 (1995) | 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. enumerative geometry; computations in K-Theory; Donaldson-Thomas theory; moduli spaces; Hilbert schemes of points in threefolds; Nakajima varieties; stable envelops and quantum groups; quantum Knizhnik-Zamolodchikov equations A. Okounkov, \textit{Lectures on K-theoretic computations in enumerative geometry}, arXiv:1512.07363 [INSPIRE]. | 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 curves; multiple points; one-to-one correspondence between lattices of points; fundamental period parallelograms of elliptic functions; absolute 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. triality; characteristic class; Lie algebra; singularities of smooth 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. groups of Lie type; Chevalley groups; long root elements; root subgroups; orthogonal groups; buildings; polar spaces; Moufang hexagons Steinbach, A.: Groups of Lie type generated by long root elements in \(F4(K)\), J. algebra 255, 463-488 (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. formal groups; Lie algebras of dynamical systems | 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. subalgebra analogue to Gröbner bases for ideals; SAGBI; Laurent polynomial; polynomial invariants; finite permutation groups; initial terms; multiplicative orders; finite generation of initial algebras; subalgebra of invariants of a permutation group Kuroda, O.: The infiniteness of the SAGBI bases for certain invariant rings. Osaka J. Math. 39, 665--680 (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. Kleinian singularities of type \(D\); noncommutative deformations; simply laced Dynkin diagrams; coordinate rings; Poisson brackets; generators and relations; moduli spaces Levy, P., Isomorphism problems of noncommutative deformations of type \textit{D} Kleinian singularities, Trans. Amer. Math. Soc., 361, 5, 2351-2375, (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. realization of motif of modular form by abelian variety; Hilbert; modular cusp form; totally real number field; Hilbert modular variety; Hecke algebra; Eichler-Shimizu correspondence T. Oda : Hodge structures of Shimura varieties attached to the unit groups of quaternion algebras , in Advanced Studies in Pare Mathematics 2: Galois Groups and Their Representations , 15-36 Tokyo: Kinokuniya Press (1983). | 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. ramification sets of finite analytic mappings; punctual Hilbert schemes; ramification loci of increasing multiplicity T. Gaffney, ''Multiple points, chaining and Hilbert schemes,'' Amer. J. Math., vol. 110, iss. 4, pp. 595-628, 1988. | 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 polynomial differential operators; multiparameter deformations; smash products; adelic Grassmannians; projective \(D\)-modules; sheaves; quadrics; Riemann-Hilbert correspondence; quiver varieties; Calogero-Moser spaces V. Baranovsky, V. Ginzburg, and, A. Kuznetsov, Wilson's Grassmannian and a non-commutative quadric, arXiv:math.AG/0203116. | 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. Galois cohomology; orthogonal group; quadratic form; determinant; Hasse invariant; Brauer group; trace forms of central simple algebras D. Lewis, J. Morales, The Hasse invariant of the trace form of a central simple algebra, Pub. Math. Fac. Sci. Besançon, 92/93--93/94, Univ. Franche-Comté, Besançon | 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; pseudo-reductive groups; generalized standard construction; groups locally of minimal type; structure and classification of pseudo-reductive groups; imperfect fields; pseudo-split groups; central extensions; affine group schemes Conrad, B.; Prasad, G., Classification of pseudo-reductive groups, Annals of Mathematics Studies, (2015), Princeton University Press | 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; \(G\)-varieties; geometric quotients; cancellation; preprojective modules; Auslander-Reiten quivers; tame quivers; wild quivers; pairs of matrices Klaus Bongartz, Some geometric aspects of representation theory, Algebras and modules, I (Trondheim, 1996) CMS Conf. Proc., vol. 23, Amer. Math. Soc., Providence, RI, 1998, pp. 1 -- 27. | 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. two-parameter quantum affine algebra; finite groups; wreath products; McKay correspondence DOI: 10.1090/S0002-9947-2011-05284-0 | 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. theta function; McKay correspondence; elliptic class of singular varieties; quotient singularities | 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 with genus \(0\); Godeaux surfaces; Campedelli surfaces; Burniat surfaces; Bloch conjecture; actions of finite groups I. Bauer, F. Catanese and R. Pignatelli, Surfaces of general type with geometric genus zero: A survey, Complex and Differential Geometry, Springer Proc. Math. 8, Springer, Heidelberg (2011), 1-48. | 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 central simple algebras; real closures of centers; local Pfister conjecture | 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. exceptional domain; action of exceptional Lie group; finite generation of algebra of modular forms; tube domain; moduli problems; reciprocity laws; Siegel modular group; Severi varieties; embeddings | 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 algebraic groups; parabolic subgroups; Levi factors; regular nilpotent elements; maximal torus; varieties of Borel subgroups; Lie algebras; Weyl groups; affine spaces; irreducible components; right cells Douglass, JM, Irreducible components of fixed point subvarieties of flag varieties, Math. Nachr., 189, 107-120, (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. Lie groups of rank one; reductive complex linear algebraic group; finite- dimensional complex representation; coregular representation; invariant polynomials; complete intersection; maximal torus; complete cointersection; fundamental representations; irreducible representations; highest weights Haruhisa Nakajima, ?Invariants of reductive Lie groups of rank one and their applications,? Proc. Japan Acad.,A60, No. 6, 221?224 (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. derived categories; differential graded algebras; resolutions of singularities; poset schemes; categorical resolution; Du Bois singularities; cubical hyperresolution; degeneration of spectral sequence | 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. affine schemes; categories of quasicoherent sheaves; Serre's theorem; noncommutative localizations; structure sheaves; schematic algebras; noncommutative algebraic geometry; graded algebras; Ore sets; quantum groups; braided categories F. van Oystaeyen. \textit{Algebraic geometry for associative algebras}. Series ''Lect. Notes in Pure and Appl. Mathem.'' \textbf{232} (Marcel Dekker: New York, 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. curves; Abelian varieties; moduli spaces; \(p\)-divisible group; Hilbert modular forms; rigid geometry; group schemes; Neron model; \(K3\) surfaces; Calabi-Yau varieties; sporadic groups; knot-invariants Edixhoven, S. J.; Moonen, B. J. J.; Oort, F., Open problems in algebraic geometry, Bulletin des Sciences Mathématiques, 125, 1-22, (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. Hecke L-series; critical values; algebraic Hecke characters; CM-fields; \(\Gamma \)-factors; functional equation; periods; abelian varieties with complex multiplication; Kloosterman series; Hilbert modular forms; Shimura's reciprocity laws; category of motives; absolute Hodge cycles; values of L-functions D. Blasius, On the critical values of Hecke \(L\)-series, Ann. of Math. (2) 124 (1986), 23--63. | 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. Gauss sum; character sum; Fourier transforms of relatively invariant functions; square matrix spaces; Hermitian matrix spaces; finite field; prehomogeneous vector spaces; intersection cohomology theory Gyoja, A.: Character sums and intersection cohomology complexes associated to the space of square matrices. Indag. math., N.S. 8, No. 3, 371-385 (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. associahedron; cluster algebra; cluster complex; Dynkin diagram; finite mutation type; Grassmannian; Laurent phenomenon; reflection group; periodicity; quiver mutation; root system; surface Marsh, Robert J., Lecture notes on cluster algebras, Zurich Lectures in Advanced Mathematics, ii+117 pp., (2013), European Mathematical Society (EMS), Zürich | 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. derived scheme; connective pro-cotangent space; connective deformation theory; almost of finite type (pro-)quasicoherent sheaf; anchor map; Chevalley functor; ind scheme; cocommutative Hopf algebra; cocommutative bi-algebra; co-operad; composition monoidal structure; crystal; de Rham prestack; differential of $x$; exponential map; filtered object; formal moduli problem; formally smooth; Hodge filtration; ind-inf-scheme; inertia object; Lie operad; left-Lax equivariance; $n$-coconnective ind-scheme; pro-cotangent complex; reduced indscheme; shifted anchor map; smooth of relative dimension $n$; splitting of a Lie algebroid; universal envelope of a Lie algebra; Verdier duality; Weil restriction; zero Lie algebroid | 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; irreducible kG-modules; McKay quiver; disjoint union of extended Dynkin diagrams Auslander, M., Reiten, I.: McKay quiver and extended Dynkin diagrams. Trans. Amer. Math. Soc., 293, 193--301 (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. Beauville surfaces; finite groups; moduli spaces; surfaces of general type Garion, S., Penegini, M.: Beauville surfaces, moduli spaces and finite groups. Commun. Algebra \textbf{42}, 2126-2155 (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. simple singularities; space curves; fat points; Hilbert-Burch theorem; classification of singularities; adjacencies Frühbis-Krüger, A.; Neumer, A., Simple Cohen-Macaulay codimension 2 singularities, Commun. Algebra, 38, 454-495, (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. moduli spaces; representations of quivers; extended Dynkin quivers; smooth representations; tame representation type; invariants Mátyás Domokos, On singularities of quiver moduli, Glasg. Math. J. 53 (2011), no. 1, 131 -- 139. | 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 hypersurface singularities; classification of irreducible Weyl groups; monodromy group | 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. vector bundles; smooth projective varieties; finite dimensional algebras; derived equivalences; bounded derived categories; moduli spaces; representations of quivers Lutz Hille, Tilting line bundles and moduli of thin sincere representations of quivers, An. Ştiinţ. Univ. Ovidius Constanţa Ser. Mat. 4 (1996), no. 2, 76 -- 82. Representation theory of groups, algebras, and orders (Constanţa, 1995). | 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. McKay correspondence; resolutions of terminal quotient singularities; Danilov resolution; moduli of quiver representations Kȩdzierski, O.: Danilov's resolution and representations of the mckay quiver. Tohoku math. J. (2) 66, No. 3, 355-375 (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. monogenity of rings of integers; imaginary quadratic field; Hilbert class field; elliptic functions; modular forms; complex multiplication V. Fleckinger , Monogénéité de certains anneaux d'entiers , Sém. de Théorie des Nombres de Bordeaux ( 1986 - 1987 ), Exposé 7 , 7-01 - 7-11 . Article | Zbl 0662.12003 | 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. Brauer groups of schemes; finite ground fields; arithmetic ground fields; motivic cohomology; motivic homotopy theory | 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. tame quivers; prehomogeneous dimension vectors; open orbits; common zero loci of semi-invariants; extended Dynkin diagrams; semi-invariant polynomials Riedtmann, Ch, Tame quivers, semi-invariants, and complete intersections, J. Algebra, 279, 362-382, (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. infinitesimal group schemes; cohomological support variety; characteristic \(p\); representation theory of a connected smooth affine group scheme; Frobenius kernels; cohomology algebra; restricted Lie algebras; infinitesimal 1-parameter subgroups A. Suslin, E. M. Friedlander and C. P. Bendel, Support varieties for infinitesimal group schemes, J. Amer. Math. Soc. 10 (1997), no. 3, 729-759. | 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. differential algebraic groups; differential field; D-F groups; rational functions; D-F Lie algebras; Galois cohomology E. Kolchin, \textit{Differential Algebraic Groups, Pure and Applied Mathematics}, Vol. 114, Academic Press, Orlando, FL, 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. Siegel modular groups; Siegel modular forms; space of global holomorphic three forms; principal congruence subgroup; Satake compactification; complete intersections; action of Hecke operators; Andrianov \(L\)- functions Van Geemen, B.; Van Straten, D.: The cuspform of weight 3 on \(\Gamma 2\)(2,4,8). Math. comp. 61, No. 204, 849-872 (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. type of singularities; simple hypersurface K3 singularities; minimal resolution; exceptional divisor; number of the singularities; weight Yonemura, T., Hypersurface simple \textit{K}3 singularities, Tohoku Math. J. (2), 42, 3, 351-380, (1990), MR 1066667 | 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 generation of subalgebras; universally one-equicodimensional schemes; algebra of finite type Adrian Constantinescu. Proper morphisms and finite generation of subalgebras. III. Schemes dominated by algebraic varieties. Stud. Cerc. Mat., 38(6):477--510, 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. finite-dimensional algebras; representations; concealed-canonical algebras; tame concealed algebras; relative invariants; admissible weights; semistability; coarse moduli spaces; extended Dynkin quivers; perpendicularity DOI: 10.1006/jabr.2001.9117 | 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. diagram of schemes; group scheme; invariant theory; local cohomology DOI: 10.1307/mmj/1220879415 | 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. Riemann-Roch; delta invariant; cyclic quotient singularities; McKay correspondence; reflexive modules; curvettes | 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 the Bergman kernel; pseudoconvex domains of finite type; Newton polyhedra; Szegö kernel; Laplace integral; asymptotic expansion; Fourier analysis; toric varieties; toric resolutions Kamimoto J. Newton polyhedra and the Bergman kernel. Math Z, 246: 405--440 (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. finite quiver with relations; representations; virtual degeneration; finite representation type; Dynkin diagram; Auslander-Reiten quiver Riedtmann, Christine, Degenerations for representations of quivers with relations, Ann. Sci. École Norm. Sup. (4), 19, 2, 275-301, (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 group actions; polar actions; generalized Reinhardt domain; invariant plurisubharmonic functions; envelope of holomorphy; automorphism group Eric Bedford and Jiri Dadok, Generalized Reinhardt domains, J. Geom. Anal. 1 (1991), no. 1, 1 -- 17. | 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. Kodaira-Spencer maps; Lie-algebroids; connections; Chern-classes; Brieskorn singularities; Alexander-polynomials; quotient singularities; McKay correspondence Helge Maakestad, Chern classes and Lie-Rinehart algebras, Indag. Math. (N.S.) 18 (2007), no. 4, 589 -- 599. | 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. spherical subalgebras; symplectic reflection algebras; wreath products; quantum Hamiltonian reductions; algebras of differential operators; representation spaces; extended Dynkin quivers; reflection functors; generalized preprojective algebras P. Etingof, W. L. Gan, V. Ginzburg and A. Oblomkov, \textit{Harish-Chandra homomorphisms and symplectic reflection algebras for wreath-products}, \textit{Publ. Math. IHES}\textbf{105} (2007) 91 [math/0511489]. | 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 curves over finite fields; coding theory; error correcting codes; zeta-functions; L-functions; algebraic Goppa code; entropy; number of rational points on modular curves C. J. Moreno, \textit{Algebraic Curves Over Finite Fields} (Cambridge University Press, 1991). | 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 points; Seminar; Bonn; Wuppertal; Mordell conjecture; proof of Tate conjecture; proof of Shafarevich conjecture; proof of the Mordell conjecture; logarithmic singularities; compactification of the moduli space of abelian varieties; modular height of an abelian variety; p-divisible groups; intersection theory on arithmetic surfaces; Riemann-Roch theorem; Hodge index theorem G. Faltings , G. Wüstholz , Rational Points, Aspects of Mathematics No. E6 , Vieweg, Braunschweig/Wiesbaden, 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. unipotent elements; nilpotent elements; unipotent classes; unipotent pieces; reductive connected algebraic groups; varieties of Borel subgroups; Lie algebras; adjoint actions; partitions; locally closed smooth subvarieties G. Lusztig, Unipotent elements in small characteristic, IV, Transform. Groups 15 (2010), 921--936. | 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. reconstruction algebras; Cohen-Macaulay singularities; labelled Dynkin diagrams; endomorphism rings of Cohen-Macaulay modules; resolutions of singularities; moduli spaces of representations; tilting bundles; derived equivalences; global dimension Wemyss, M, Reconstruction algebras of type \(A\), Trans. Am. Math. Soc., 363, 3101-3132, (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. elliptic curves; \(K3\) surfaces; Calabi-Yau threefolds; CM type Calabi-Yau varieties; Galois representations; modular (cusp) forms; automorphic inductions; geometry and arithmetic of moduli spaces; Hilbert and Siegel modular forms; Families of Calabi-Yau varieties; mirror symmetry; mirror maps; Picard-Fuchs differential equations Yui, N.: Modularity of Calabi-Yau varieties: 2011 and beyond. In: Arithmetic and Geometry of K3 Surfaces and Calabi-Yau Threefolds, Fields Institute Communications, vol. 67, pp. 101-139. Springer, New York (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. modular representations of finite groups; congruences for mod \(p\) modular forms; general linear groups; principal series representations; cuspidal representations; symmetric powers; crystalline cohomology | 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. relative Lie groups; algebraic curves; group of adèles; principal adèles; generalized Bäcklund transformations; Baker functions; subtori; \(\tau \) -function I. V. Cherednik, ''Group interpretation of Baker functions and ?-functions,'' Usp. Mat. Nauk,38, No. 6, 133-134 (1983). | 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; \(K3\) surfaces; surfaces of general type Laterveer, R., Some results on a conjecture of voisin for surfaces of geometric genus one, Boll. Unione Mat. Ital., 9, 435-452, (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. Henselian fields; closedness theorem; analytic structure; b-minimal cell decomposition; quantifier elimination; ordered abelian groups; fiber shrinking; Łojasiewicz inequalities; piecewise continuity; Hölder continuity; curve selection; transformation to normal crossings; resolution of singularities; definable retractions; extension of continuous definable 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. classical Lie algebras; degeneracy relations for conjugacy classes of nilpotent elements; symplectic and orthogonal Lie algebras; dimension formula; fixed point variety of nilpotent element; manifold of full flags; complete intersection; normality; differential criterion for regular elements; validity of Chevalley restriction theorem for invariant polynomials | 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. finitely generated nilpotent groups; zeta functions; elliptic curves; numbers of subgroups; subgroups of finite index M. du Sautoy, ''A nilpotent group and its elliptic curve: non-uniformity of local zeta functions of groups,'' Israel J. Math., vol. 126, pp. 269-288, 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. non-rational Hilbert modular threefold; defects of cusp singularities; totally real cubic number field; plurigenera of Hilbert modular varieties; arithmetic genus | 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. flag varieties; Schubert varieties; representations of algebraic groups; Hilbert schemes of points Brion, M.; Kumar, S., Frobenius Splitting Methods in Geometry and Representation Theory, Progress in Mathematics, vol. 231, (2005), Birkhäuser Boston, Inc.: Birkhäuser Boston, Inc. 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. categories of divisorial lattices over Krull domains; reflexive Brauer groups; ordinary Brauer groups; Brauer group of schemes; sheaves of Azumaya algebras with involution; class groups; exact sequences; affine normal domains; étale cohomology 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. dual representations; invariant polynomials; Lie groups; Hilbert space; Schur-Weyl duality; general linear group; Casimir operators | 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. primitive cohomology of nonsingular cubic fourfold; Hodge numbers; Vinberg's Dynkin diagram; period map for cubic fourfolds; Baily-Borel type compactification E. Looijenga, ''The period map for cubic fourfolds,'' Invent. Math., vol. 177, pp. 213-233, 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. isomorphism classes of modules; free associative algebras; varieties of \(n\)-dimensional modules; \(\text{GL}_ d\)-stable subvarieties; regular functions; actions; algebraic 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. quantum group; quantum cohomology; Nakajima quiver varieties; Yangians; quantum connections; Hilbert schemes; Baxter algebras; Fock bosons; instanton moduli; Baranovsky operators; Virasoro algebra; Gamma 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. Kac-Moody Lie algebras; Kac-Moody groups; representation theory; flag varieties; semisimple simply-connected algebraic groups; parabolic subgroups; Weyl-Kac character formula; \(\mathfrak n\)-homology; ind-varieties; pro-groups; pro-Lie algebras; Tits systems; Demazure character formula; Schubert varieties; Cohen-Macaulay varieties; Borel-Weil-Bott theorem; Bernstein-Gelfand-Gelfand resolution; Kempf resolution; Cartan subalgebras; generalized Cartan matrix; Plücker relations; nil-Hecke rings; cup products; Leray-Serre spectral sequence; smoothness of Schubert varieties; affine Kac-Moody algebras Kumar, S., Kac-Moody groups, their flag varieties and representation theory, 204, (2002), Birkhäuser Boston, Inc.: Birkhäuser Boston, Inc., 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. Lie algebra of derivations of the moduli algebra; generalized Cartan matrix; GCM; simple-elliptic surface singularities Craig Seeley and Stephen S.-T. Yau, Algebraic methods in the study of simple-elliptic singularities, Algebraic geometry (Chicago, IL, 1989) Lecture Notes in Math., vol. 1479, Springer, Berlin, 1991, pp. 216 -- 237. | 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. logarithmic vector fields; discriminants; Saito free singularities; Coxeter groups; Lie algebras; deformations J. Sekiguchi, \textit{A classification of weighted homogeneous Saito free divisors}, J. Math. Soc. Japan 61 (2009), 1071--1095. | 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. elementary determination of generator relations; graded ring of Hilbert modular forms; rationality of field of Hilbert modular functions; explicit transcendence basis Müller, R, Hilbertsche modulformen und modulfunktionen zu \(\mathbb{Q}(\sqrt{5})\), Arch. Math., 45, 239-251, (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. quotient spaces of Hilbert modular groups of totally real number fields H. G. Grundman and L. E. Lippincott, Hilbert modular fourfolds of arithmetic genus one, High primes and misdemeanours: lectures in honour of the 60th birthday of Hugh Cowie Williams, Fields Inst. Commun., vol. 41, Amer. Math. Soc., Providence, RI, 2004, pp. 217 -- 226. | 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. affine Weyl groups; Springer representations of affine groups; fixed point varieties on affine flag manifolds; complex semisimple simply connected algebraic groups; Lie algebras; nil-elliptic elements; representations D. S. Sage, A construction of representations of affine Weyl groups , Compositio Math. 108 (1997), 241--245. | 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. moduli space of curves; modular graph functions; Arakelov-Green function; Kawazumi-Zhang 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. graded algebras; tame hereditary algebras; categories of finite-dimensional right modules; Auslander-Reiten translations; endofunctors; indecomposable projective modules; orbit algebras; algebras of invariants; wild canonical algebras; quivers; indecomposable modules; automorphic forms Lenzing, H.: \textit{Wild canonical algebras and rings of automorphic forms. In Finite-dimensional algebras and related topics (Ottawa, ON, 1992)}, volume 424 of NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci., 191-212. Kluwer Acad. Publ., Dordrecht, 1994 | 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. actions of formal groups on formal schemes; Hopf algebras; parameter systems; controllability; observability; realization of control theory; multivariate umbral calculus U. Oberst,Actions of formal groups on formal schemes. Applications to control theory and combinatorics, inSeminaire d'Algebre (P. Dubreil and M.-P. Malliavin, eds.), Lecture Notes in Mathematics, No. 1146, Springer, Berlin, Heidelberg, New York, 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. finite dimensional modules; Artinian rings; associative algebras; degenerations of modules; partial orders; cancellation; preprojective modules; nilpotent matrices; Auslander-Reiten quivers; indecomposable modules; representation directed algebras Riedtmann, Ch.: Geometry of modules: degenerations. Contemp. math. 229, 281-291 (1998) | 0 |
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