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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics K. Rietsch, An algebraic cell decomposition of the nonnegative part of a ag variety, J. Algebra 213 (1999), 144--154. Linear algebraic groups over the reals, the complexes, the quaternions, Representation theory for linear algebraic groups, Group actions on varieties or schemes (quotients), Grassmannians, Schubert varieties, flag manifolds
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Combinatorial aspects of algebraic geometry, Grassmannians, Schubert varieties, flag manifolds
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Canonical forms, reductions, classification, Eigenvalues, singular values, and eigenvectors, Grassmannians, Schubert varieties, flag manifolds
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics R. Vakil, Schubert induction. Ann. Math. 164, 489--512 (2006) Grassmannians, Schubert varieties, flag manifolds, Classical problems, Schubert calculus, Enumerative problems (combinatorial problems) in algebraic geometry
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics DOI: 10.1142/S0129167X06003436 Low codimension problems in algebraic geometry, Grassmannians, Schubert varieties, flag manifolds
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Applications of global differential geometry to the sciences, Grassmannians, Schubert varieties, flag manifolds, Sheaves and cohomology of sections of holomorphic vector bundles, general results, Constructive quantum field theory, General relativity
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Exterior differential systems (Cartan theory), Grassmannians, Schubert varieties, flag manifolds, Integral geometry
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Grassmannians, Schubert varieties, flag manifolds
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Fink, A.; Speyer, DE, \(K\)-classes for matroids and equivariant localization, Duke Math. J., 161, 2699-2723, (2012) Combinatorial aspects of matroids and geometric lattices, Applications of methods of algebraic \(K\)-theory in algebraic geometry, Grassmannians, Schubert varieties, flag manifolds
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Grassmannians, Schubert varieties, flag manifolds, Classical problems, Schubert calculus, Symmetric functions and generalizations
| 0
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Other hypergeometric functions and integrals in several variables, Quantization in field theory; cohomological methods, Grassmannians, Schubert varieties, flag manifolds
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics B. Draper, M. Kirby, J. Marks, T. Marrinan, and C. Peterson, \textit{A flag representation for finite collections of subspaces of mixed dimensions}, Linear Algebra Appl., 451 (2014), pp. 15--32. Grassmannians, Schubert varieties, flag manifolds, Local Riemannian geometry, Eigenvalues, singular values, and eigenvectors, Statistical aspects of information-theoretic topics, Image processing (compression, reconstruction, etc.) in information and communication theory, Cyclic codes
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics J. B. Carrell, Deformation of the nilpotent zero scheme and the intersection rings of invariant subvarieties, J. Reine Angew. Math. 460 (1995), 37--54. Classical real and complex (co)homology in algebraic geometry, Geometric invariant theory, Grassmannians, Schubert varieties, flag manifolds
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Landsberg J. M., ''Representation Theory and Projective Geometry.'' Homogeneous spaces and generalizations, Grassmannians, Schubert varieties, flag manifolds, Projective techniques in algebraic geometry, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights)
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics General theory of von Neumann algebras, Grassmannians, Schubert varieties, flag manifolds
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Helminck, G.: J. Math. Phys. 29 (1983), 1974-1978; with G. Post, Lett. Math. Phys. 16 (1988), 359-364. Holomorphic bundles and generalizations, Sheaves and cohomology of sections of holomorphic vector bundles, general results, Compact Riemann surfaces and uniformization, Pseudodifferential operators as generalizations of partial differential operators, Pseudodifferential and Fourier integral operators on manifolds, Riemann-Roch theorems, Grassmannians, Schubert varieties, flag manifolds
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics B. J. Wyser, K-orbit closures on G/B as universal degeneracy loci for flagged vector bundles with symmetric or skew-symmetric bilinear form, Transform. Groups 18 (2013), 557--594, 10.1007/s00031-013-9221-1. Grassmannians, Schubert varieties, flag manifolds, Compactifications; symmetric and spherical varieties
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Coskun, Izzet; Starr, Jason, Divisors on the space of maps to Grassmannians, Int. Math. Res. Not., 2006, (2006) Families, moduli of curves (algebraic), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Grassmannians, Schubert varieties, flag manifolds
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Sato, F.: B-functions of prehomogeneous vector spaces attached to flag manifolds of the general linear group. Comment. math. Univ. st. Pauli 48, 129-136 (1999) Prehomogeneous vector spaces, Forms of degree higher than two, Analytic theory (Epstein zeta functions; relations with automorphic forms and functions), Grassmannians, Schubert varieties, flag manifolds, Linear algebraic groups over the reals, the complexes, the quaternions
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Geometric theory, characteristics, transformations in context of PDEs, Parabolic Monge-Ampère equations, Differential geometry of homogeneous manifolds, Global differential geometry of Hermitian and Kählerian manifolds, Symplectic manifolds (general theory), Contact manifolds (general theory), Jets in global analysis, Vector distributions (subbundles of the tangent bundles), Invariance and symmetry properties for PDEs on manifolds, Grassmannians, Schubert varieties, flag manifolds
| 0
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Cohomology of Lie (super)algebras, Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras, Hodge theory in global analysis, Grassmannians, Schubert varieties, flag manifolds
| 0
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Pechenik, O., Yong, A.: Genomic tableaux and combinatorial \(K\)-theory. Discrete Math. Theor. Comput. Sci. Proc. \textbf{FPSAC'15}, 37-48 (2015) Combinatorial aspects of representation theory, Classical problems, Schubert calculus, Grassmannians, Schubert varieties, flag manifolds
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Kodama Y, Williams LK. (2011) KP solitons, total positivity, and cluster algebras. Proc. Natl Acad. Sci. USA 108, 8984-8989. (10.1073/pnas.1102627108) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.), Cluster algebras, Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems, Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures, Grassmannians, Schubert varieties, flag manifolds
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Grassmannians, Schubert varieties, flag manifolds, Étale and other Grothendieck topologies and (co)homologies, Real algebraic and real-analytic geometry
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Costa, L., Miró-Roig, R.M.: Homogeneous Ulrich bundles on Grassmannians of lines (2012) Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Grassmannians, Schubert varieties, flag manifolds
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Coadjoint orbits; nilpotent varieties, Grassmannians, Schubert varieties, flag manifolds
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Hypersurfaces and algebraic geometry, Parametrization (Chow and Hilbert schemes), Families, moduli of curves (algebraic), Grassmannians, Schubert varieties, flag manifolds
| 0
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Twistor theory, double fibrations (complex-analytic aspects), Grassmannians, Schubert varieties, flag manifolds, Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory), Rational and ruled surfaces
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Garibaldi, S.; Petrov, V.; Semenov, N., \textit{shells of twisted flag varieties and the rost invariant}, Duke Math. J., 165, 285-339, (2016) (Equivariant) Chow groups and rings; motives, Grassmannians, Schubert varieties, flag manifolds, Exceptional groups
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Grassmannians, Schubert varieties, flag manifolds, Combinatorial aspects of algebraic geometry
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Finite ground fields in algebraic geometry, Arithmetic ground fields for surfaces or higher-dimensional varieties, Varieties over finite and local fields, Grassmannians, Schubert varieties, flag manifolds, Curves over finite and local fields, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture)
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Matsuki, T.: Orbits on flag manifolds. In: Proceedings of the International Congress of Mathematicians, Kyoto 1990, Vol. II. Springer, pp. 807-813 (1991) Semisimple Lie groups and their representations, Grassmannians, Schubert varieties, flag manifolds, Differential geometry of homogeneous manifolds
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Zanella, C., Embeddings of Grassmann spaces, J. Geom., 52, 193-201, (1995) Incidence structures embeddable into projective geometries, Synthetic treatment of fundamental manifolds in projective geometries (Grassmannians, Veronesians and their generalizations), Grassmannians, Schubert varieties, flag manifolds
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Collections of abstracts of lectures, Proceedings of conferences of miscellaneous specific interest, Proceedings, conferences, collections, etc. pertaining to nonassociative rings and algebras, Proceedings, conferences, collections, etc. pertaining to combinatorics, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Universal enveloping (super)algebras, Representation theory for linear algebraic groups, Grassmannians, Schubert varieties, flag manifolds, Toric varieties, Newton polyhedra, Okounkov bodies, Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry), Symmetric functions and generalizations, Combinatorial aspects of representation theory
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics I. Frenkel, M. Khovanov and C. Stroppel, \textit{A categorification of finite-dimensional irreducible representations of quantum sl(2) and their tensor products}, \textit{Selecta Math. (N.S.)}\textbf{12} (2006) 379431 [math/0511467]. Quantum groups (quantized enveloping algebras) and related deformations, Quantum groups (quantized function algebras) and their representations, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Grassmannians, Schubert varieties, flag manifolds, Representations of associative Artinian rings
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras, Grassmannians, Schubert varieties, flag manifolds
| 0
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics R. Fioresi and C. Hacon, \textit{On infinite-dimensional Grassmannians and their quantum deformations}, Rend. Sem. Mat. Univ. Padova, 111 (2004), pp. 1--24. Grassmannians, Schubert varieties, flag manifolds, Group structures and generalizations on infinite-dimensional manifolds, Geometry of quantum groups
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Ehrig, M.; Stroppel, C., Diagrammatic description for the categories of perverse sheaves on isotropic Grassmannians, Selecta Math. (N.S.), 22, 3, 1455-1536, (2016) Combinatorial aspects of representation theory, Grassmannians, Schubert varieties, flag manifolds, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Lie algebras of linear algebraic groups, Equivariant homology and cohomology in algebraic topology, Hecke algebras and their representations
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Supersymmetric field theories in quantum mechanics, Grassmannians, Schubert varieties, flag manifolds, Feynman diagrams, Vector distributions (subbundles of the tangent bundles), Decomposition methods
| 0
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Leung, N. C.; Li, C., Gromov-Witten invariants for \(G / B\) and Pontryagin product for {\(\omega\)}\textit{K}, Trans. Amer. Math. Soc., 5, 2567-2599, (2012) Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Grassmannians, Schubert varieties, flag manifolds, Infinite-dimensional Lie groups and their Lie algebras: general properties
| 0
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Combinatorial aspects of representation theory, Grassmannians, Schubert varieties, flag manifolds, Cohen-Macaulay modules in associative algebras, Root systems
| 0
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Grassmannians, Schubert varieties, flag manifolds, Gromov-Witten invariants, quantum cohomology, Frobenius manifolds
| 0
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Lascoux, A.: Symmetric functions \& combinatorial operators on polynomials. CBMS reg. Conf. ser. Math. 99 (2003) Symmetric functions and generalizations, Combinatorial aspects of representation theory, Grassmannians, Schubert varieties, flag manifolds, Representations of finite symmetric groups, Approximation by polynomials, Padé approximation, Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Berukavnikov, R; Riche, S, Affine braid group actions on derived categories of Springer resolutions, Ann. Sci. l'Éc. Norm. Supèr. Quatr. Sér. 4, 45, 535-599, (2012) Representation theory for linear algebraic groups, Braid groups; Artin groups, Modular Lie (super)algebras, Grassmannians, Schubert varieties, flag manifolds
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics \beginbarticle \bauthor\binitsH. \bsnmÚlfarsson and \bauthor\binitsA. \bsnmWoo, \batitleWhich Scubert varieties are local complete intersections? \bjtitleProc. Lond. Math. Soc. (3) \bvolume107 (\byear2013), page 1004-\blpage1052. \endbarticle \endbibitem Grassmannians, Schubert varieties, flag manifolds, Reflection and Coxeter groups (group-theoretic aspects), Complete intersections, Combinatorial aspects of commutative algebra, Permutations, words, matrices
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Combinatorial aspects of representation theory, Grassmannians, Schubert varieties, flag manifolds, Quantum groups (quantized enveloping algebras) and related deformations
| 0
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics V. Lakshmibai and C. S. Seshadri, ?Thèorie monomiale standard pour \(\widehat{\mathfrak{s}\mathfrak{l}}_2 \) ,? C. R. Acad. Sci. Paris Ser. I,305, 183-185 (1987). Infinite-dimensional Lie groups and their Lie algebras: general properties, Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras, Grassmannians, Schubert varieties, flag manifolds, Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.)
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Grassmannians, Schubert varieties, flag manifolds, Vector and tensor algebra, theory of invariants, Linear ordinary differential equations and systems, Critical points of functions and mappings on manifolds
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Ikeda, T.; Matsumura, T., \textit{Pfaffian sum formula for the symplectic Grassmannians}, Math. Z., 280, 269-306, (2015) Grassmannians, Schubert varieties, flag manifolds, Symmetric functions and generalizations
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Ionuţ Ciocan-Fontanine, On quantum cohomology rings of partial flag varieties, Duke Math. J. 98 (1999), no. 3, 485 -- 524. Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Grassmannians, Schubert varieties, flag manifolds, Classical problems, Schubert calculus, Homogeneous spaces and generalizations, Gromov-Witten invariants, quantum cohomology, Frobenius manifolds
| 0
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies), Grassmannians, Schubert varieties, flag manifolds, Classical problems, Schubert calculus, Connective \(K\)-theory, cobordism, Bordism and cobordism theories and formal group laws in algebraic topology
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics E. Rogora, Varieties with many lines. Manuscripta Math. 82 (1994), no. 2, 207--226. Projective techniques in algebraic geometry, Low codimension problems in algebraic geometry, Grassmannians, Schubert varieties, flag manifolds
| 0
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics A. Kuznetsov, Scheme of lines on a family of 2-dimensional quadrics: geometry and derived category, math. AG/arXiv:1011. 4146. Brauer groups of schemes, Quadratic spaces; Clifford algebras, Fibrations, degenerations in algebraic geometry, Families, moduli, classification: algebraic theory, Grassmannians, Schubert varieties, flag manifolds
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Perrin, N, Small codimension smooth subvarieties in even-dimensional homogeneous spaces with Picard group \({\mathbb{Z}}\), C. R. Acad. Sci., 345, 155-160, (2007) Divisors, linear systems, invertible sheaves, Picard groups, Grassmannians, Schubert varieties, flag manifolds
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Idempotents, Peirce decompositions, Grassmannians, Schubert varieties, flag manifolds
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics C. Patton and H. Rossi, Unitary structures in cohomology, to appear. Semisimple Lie groups and their representations, Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects), Grassmannians, Schubert varieties, flag manifolds, Determinantal varieties
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Kapovich, M.; Kumar, S.; Millson, J. J.: The eigencone and saturation for \(Spin(8)\). Pure appl. Math. Q. 5, No. 2, 755-780 (2009) Representation theory for linear algebraic groups, Grassmannians, Schubert varieties, flag manifolds, Inequalities involving eigenvalues and eigenvectors, Root systems, Cohomology theory for linear algebraic groups, Differential geometry of symmetric spaces, Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry)
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Fang, X.; Fourier, G.; Littelmann, P., Representation Theory -- Current Trends and Perspectives, 11, On toric degenerations of flag varieties, 187-232, (2017), European Mathematical Society Publishing House Homogeneous spaces and generalizations, Grassmannians, Schubert varieties, flag manifolds, Toric varieties, Newton polyhedra, Okounkov bodies, Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry), Fibrations, degenerations in algebraic geometry, Compactifications; symmetric and spherical varieties
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Y. Roichman, Schubert polynomials, Kazhdan--Lusztig basis and characters, (with an, appendix: On characters of Weyl groups, co-authored with, R. M. Adin, and, A. Postnikov, ), Discrete Math, to appear. Combinatorial aspects of representation theory, Grassmannians, Schubert varieties, flag manifolds, Symmetric groups
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Combinatorial aspects of groups and algebras, Combinatorial aspects of representation theory, Cluster algebras, Grassmannians, Schubert varieties, flag manifolds, Classical problems, Schubert calculus, Representations of quivers and partially ordered sets, Categorical structures
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Muñoz, R; Occhetta, G; Solá Conde, LE, Rational curves, Dynkin diagrams and Fano manifolds with nef tangent bundle, Math. Ann., 361, 583-609, (2015) Grassmannians, Schubert varieties, flag manifolds, Minimal model program (Mori theory, extremal rays), Fano varieties, Algebraic cycles
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Grassmannians, Schubert varieties, flag manifolds
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Görtz, U.; He, X.; Nie, S., \textit{P}-alcoves and nonemptiness of affine Deligne-Lusztig varieties, Ann. Sci. Éc. Norm. Supér., 48, 647-665, (2015) Homogeneous spaces and generalizations, Grassmannians, Schubert varieties, flag manifolds, Modular and Shimura varieties, \(p\)-adic cohomology, crystalline cohomology, Loop groups and related constructions, group-theoretic treatment, Classical groups (algebro-geometric aspects)
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Quantum groups (quantized enveloping algebras) and related deformations, Loop groups and related constructions, group-theoretic treatment, Cluster algebras, Grassmannians, Schubert varieties, flag manifolds, Derived categories of sheaves, dg categories, and related constructions in algebraic geometry
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics R. Stanley, GL(\textit{n, C}) \textit{for combinatorialists}, in \textit{Surveys in Combinatorics}, London Math. Soc. Lecture Note Series, Cambridge University Press (1983), pp. 187-200. Supersymmetric field theories in quantum mechanics, Relationships between surfaces, higher-dimensional varieties, and physics, Representations of quivers and partially ordered sets, Syzygies, resolutions, complexes and commutative rings, Algebraic combinatorics, String and superstring theories; other extended objects (e.g., branes) in quantum field theory
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Exactly solvable models; Bethe ansatz, Miscellaneous applications of \(K\)-theory, Grassmannians, Schubert varieties, flag manifolds, Classical problems, Schubert calculus, Applications of methods of algebraic \(K\)-theory in algebraic geometry, Relationships between surfaces, higher-dimensional varieties, and physics, Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, \(W\)-algebras and other current algebras and their representations
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics D. Barbasch, S. Evens, K-orbits on Grassmannians and a PRV conjecture for real groups, J. Algebra 167 (1994), no. 2, 258--283. Grassmannians, Schubert varieties, flag manifolds, Group actions on varieties or schemes (quotients), Representation theory for linear algebraic groups, Homogeneous spaces and generalizations
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics G. Salvatori and S.L. Cacciatori, \textit{Hyperbolic Geometry and Amplituhedra in 1+2 dimensions}, arXiv:1803.05809 [INSPIRE]. \(2\)-body potential quantum scattering theory, Applications of differential geometry to physics, Yang-Mills and other gauge theories in quantum field theory, Quantum field theory on lattices, Grassmannians, Schubert varieties, flag manifolds
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Exterior algebra, Grassmann algebras, Grassmannians, Schubert varieties, flag manifolds
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Verra, A.: Smooth Surfaces of Degree 9 inG(1, 3). Manuscr. Math.62, 417--435 (1988) Grassmannians, Schubert varieties, flag manifolds
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics [DW1] A. W. M. Dress and W. Wenzel: Endliche Matroide mit Koeffizienten,Bayreuth. Math. Schr. 26 (1988), 37--98. Combinatorial aspects of matroids and geometric lattices, Combinatorial aspects of finite geometries, Combinatorial geometries and geometric closure systems, Grassmannians, Schubert varieties, flag manifolds
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Grassmannians, Schubert varieties, flag manifolds, (Equivariant) Chow groups and rings; motives, Parametrization (Chow and Hilbert schemes), Geometric invariant theory
| 0
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Transcendental methods, Hodge theory (algebro-geometric aspects), Hypersurfaces and algebraic geometry, Fano varieties, Calabi-Yau manifolds (algebro-geometric aspects), Complete intersections, Grassmannians, Schubert varieties, flag manifolds
| 0
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics R. Dabrowski, A simple proof of a necessary and sufficient condition for the existence of nontrivial global sections of a line bundle on a Schubert variety, in: Kazhdan-Lusztig Theory and Related Topics (Chicago, IL, 1989), Contemp. Math., Vol. 139, Amer. Math. Soc., Providence, RI, 1992, pp. 113-120. Linear algebraic groups over arbitrary fields, Grassmannians, Schubert varieties, flag manifolds, Simple, semisimple, reductive (super)algebras
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Shor, PW; Sloane, NJA, A family of optimal packings in Grassmannian manifolds, J. Algebraic Comb., 7, 157-163, (1998) Packing and covering in \(n\) dimensions (aspects of discrete geometry), Polyhedra and polytopes; regular figures, division of spaces, Grassmannians, Schubert varieties, flag manifolds
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Buch, A.; Kresch, A.; Shimozono, M.; Tamvakis, H.; Yong, A., Stable Grothendieck polynomials and \textit{K}-theoretic factor sequences, Math. Ann., 340, 359-382, (2008) Grassmannians, Schubert varieties, flag manifolds, \(K\)-theory of schemes, Symmetric functions and generalizations
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics W. Bruns, U. Vetter, \(Determinantal Rings\). Lecture Notes in Mathematics, vol. 1327 (Springer, New York, 1988) Theory of modules and ideals in commutative rings, Research exposition (monographs, survey articles) pertaining to commutative algebra, Determinantal varieties, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to algebraic geometry, Grassmannians, Schubert varieties, flag manifolds, Ideals and multiplicative ideal theory in commutative rings, Relevant commutative algebra
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Cluster algebras, Combinatorial aspects of representation theory, Mirror symmetry (algebro-geometric aspects), Grassmannians, Schubert varieties, flag manifolds, Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Tropical geometry, Applications of deformations of analytic structures to the sciences
| 0
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Finkelberg, M., Mirković, I.: Semi-infinite flags I. Case of global curve \(\mathbb{P}^1\), in Differential topology, infinite-dimensional Lie algebras, and applications, 81-112, Am. Math. Soc. Transl. Ser. 2, vol. 194, Am. Math. Soc. (1999) Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies), Grassmannians, Schubert varieties, flag manifolds, Cohomology theory for linear algebraic groups, Quantum groups (quantized function algebras) and their representations
| 0
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Grassmannians, Schubert varieties, flag manifolds, Fibrations, degenerations in algebraic geometry
| 0
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Jia, N.; Miller, E.: Duality of antidiagonals and pipe dreams, Sém. lothar. Combin. 58 (2008) Permutations, words, matrices, Grassmannians, Schubert varieties, flag manifolds
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Grassmannians, Schubert varieties, flag manifolds, Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry), Classical groups (algebro-geometric aspects)
| 0
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Kogan, M., Miller, E.: Toric degeneration of Schubert varieties and Gelfand--Tsetlin polytopes. Adv. Math. 193(1), 1--17 (2005) Grassmannians, Schubert varieties, flag manifolds, Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes, Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases)
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Combinatorial aspects of representation theory, Symmetric functions and generalizations, Grassmannians, Schubert varieties, flag manifolds, Permutations, words, matrices
| 0
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics DOI: 10.1023/A:1000650009973 Arithmetic varieties and schemes; Arakelov theory; heights, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Grassmannians, Schubert varieties, flag manifolds
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Kac, V. G.; Peterson, D. H.: Lectures on infinite wedge representation and MKP hierarchy. Séminaire de math. Sup., LES presses de l'université de Montreal 102, 141-186 (1986) Partial differential equations of mathematical physics and other areas of application, Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras, Infinite-dimensional Lie groups and their Lie algebras: general properties, Grassmannians, Schubert varieties, flag manifolds, Geometric theory, characteristics, transformations in context of PDEs
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Kodama, Y.; Williams, L., The full Kostant--Toda hierarchy on the positive flag variety, Commun. Math. Phys., 335, 247-283, (2015) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions, Grassmannians, Schubert varieties, flag manifolds, Special polytopes (linear programming, centrally symmetric, etc.)
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics P. Achar and D. Sage, Staggered sheaves on partial flag varieties, arXiv:0712.1615. Grassmannians, Schubert varieties, flag manifolds
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Stacks and moduli problems, Modular and Shimura varieties, Grassmannians, Schubert varieties, flag manifolds
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Shipman B. A., Discrete and Continuous Dynamical Systems Representations of associative Artinian rings, Grassmannians, Schubert varieties, flag manifolds
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Classical problems, Schubert calculus, Grassmannians, Schubert varieties, flag manifolds, Combinatorial aspects of algebraic geometry, Permutations, words, matrices
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Symmetric groups, Grassmannians, Schubert varieties, flag manifolds, Symmetric functions and generalizations, Reflection and Coxeter groups (group-theoretic aspects), Compactifications; symmetric and spherical varieties
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Carlsson, E.: Vertex operators, grassmannians, and Hilbert schemes, Comm. math. Phys. 300, No. 3, 599-613 (2010) Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Vertex operators; vertex operator algebras and related structures, Parametrization (Chow and Hilbert schemes), Grassmannians, Schubert varieties, flag manifolds
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Grassmannians, Schubert varieties, flag manifolds, Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Kr''ahmer, U., and M. Tucker-Simmons, On the Dolbeault-Dirac Operator of Quantized Symmetric Spaces, Trans. of the London Math. Soc. 2 (2015), 33--56. Noncommutative geometry (à la Connes), Grassmannians, Schubert varieties, flag manifolds, Quadratic and Koszul algebras, Quantum groups (quantized enveloping algebras) and related deformations, Quantum groups (quantized function algebras) and their representations, Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects), Harmonic analysis on homogeneous spaces, Spin and Spin\({}^c\) geometry, Geometry of quantum groups
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Erdős problems and related topics of discrete geometry, Algebraic combinatorics, Classification of affine varieties
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Han, F, Geometry of the genus 9 Fano 4-folds, Ann. Inst. Fourier (Grenoble), 60, 1401-1434, (2010) Fano varieties, \(4\)-folds, Grassmannians, Schubert varieties, flag manifolds
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Grassmannians, Schubert varieties, flag manifolds, Homology and cohomology of homogeneous spaces of Lie groups
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Hashimoto, T, \(B_{n-1}\)-orbits on the flag variety \({{\mathrm GL}}_n/B_n\), Geom. Dedicata, 105, 13-27, (2004) Grassmannians, Schubert varieties, flag manifolds, Group actions on varieties or schemes (quotients)
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Danilov, VI; Karzanov, AV; Koshevoy, GA, On maximal weakly separated set-systems, J. Algebraic Comb., 32, 497-531, (2010) Grassmannians, Schubert varieties, flag manifolds, Cluster algebras
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