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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Ionuţ Ciocan-Fontanine, The quantum cohomology ring of flag varieties, Trans. Amer. Math. Soc. 351 (1999), no. 7, 2695 -- 2729. Grassmannians, Schubert varieties, flag manifolds, Enumerative problems (combinatorial problems) in algebraic geometry, (Co)homology theory in algebraic geometry, Model quantum field theories
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Görtz, U.; He, X., Dimensions of Deligne-Lusztig varieties in affine flag varieties, Doc. Math., 15, 1009-1028, (2010) Representation theory for linear algebraic groups, Grassmannians, Schubert varieties, flag manifolds, Linear algebraic groups over finite fields, Reflection and Coxeter groups (group-theoretic aspects), Group actions on varieties or schemes (quotients), Linear algebraic groups over local fields and their integers
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Hermitian, skew-Hermitian, and related matrices, Vector spaces, linear dependence, rank, lineability, Conditioning of matrices, Grassmannians, Schubert varieties, flag manifolds
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Lam, Th.: Whittaker functions, geometric crystals, and quantum Schubert calculus (2013). arXiv:1308.5451 Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Mirror symmetry (algebro-geometric aspects), Quantum groups (quantized enveloping algebras) and related deformations, Grassmannians, Schubert varieties, flag manifolds
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics DOI: 10.1007/BF00750679 PDEs in connection with relativity and gravitational theory, Einstein's equations (general structure, canonical formalism, Cauchy problems), Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests, Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.), Grassmannians, Schubert varieties, flag manifolds, Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Garibaldi, R. S.: Twisted flag varieties of trialitarian groups. Commun algebra 27, No. 2, 841-856 (1999) Finite-dimensional division rings, Linear algebraic groups over arbitrary fields, Galois cohomology of linear algebraic groups, Grassmannians, Schubert varieties, flag manifolds, Rings with involution; Lie, Jordan and other nonassociative structures, Clifford algebras, spinors
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Differentiable manifolds, foundations, Exterior differential systems (Cartan theory), Pfaffian systems, Jets in global analysis, Vector distributions (subbundles of the tangent bundles), Natural bundles, Calculus on manifolds; nonlinear operators, Partial differential equations on manifolds; differential operators, Grassmannians, Schubert varieties, flag manifolds, General topics in partial differential equations, Geometric theory, characteristics, transformations in context of PDEs, Differential topology, Local submanifolds
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Combinatorial aspects of representation theory, Grassmannians, Schubert varieties, flag manifolds
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Grassmannians, Schubert varieties, flag manifolds, Vertex operators; vertex operator algebras and related structures, Ordinary differential equations of infinite order
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Ersan Akyıldız and James B. Carrell, \(A generalization of the Kostant-Macdonald identity. \)Proc. Nat. Acad. Sci. U.S.A. 86 (1989), no. 11, 3934--3937. Group actions on varieties or schemes (quotients), Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series, 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 Projective techniques in algebraic geometry, Projective analytic geometry, Grassmannians, Schubert varieties, flag manifolds, Rational and birational maps
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics [P] Papantonopoulou, A.: Embeddings in G(1,3). Proc. Am. Math. Soc.89, 583-586 (1983); Corrigendum, Ibidem, Proc. Am. Math. Soc.95 (1985) Grassmannians, Schubert varieties, flag manifolds, Families, moduli, classification: algebraic theory, Embeddings in algebraic geometry
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics DOI: 10.1016/0378-3758(95)00156-5 Combinatorial aspects of representation theory, Determinantal varieties, Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series, Factorials, binomial coefficients, combinatorial functions, Exact enumeration problems, generating functions, Linkage, complete intersections and determinantal ideals, Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases), Grassmannians, Schubert varieties, flag manifolds
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Root systems, Grassmannians, Schubert varieties, flag manifolds
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics \beginbarticle \bauthor\binitsA. S. \bsnmBuch, \bauthor\binitsA. \bsnmKresch, \bauthor\binitsH. \bsnmTamvakis and \bauthor\binitsA. \bsnmYong, \batitleSchubert polynomials and quiver formulas, \bjtitleDuke Math. J. \bvolume122 (\byear2004), no. \bissue1, page 125-\blpage143. \endbarticle \OrigBibText Anders S. Buch, Andrew Kresch, Harry Tamvakis, and Alexander Yong, Schubert polynomials and quiver formulas , Duke Math. J. 122 (2004), no. 1, 125-143. \endOrigBibText \bptokstructpyb \endbibitem Grassmannians, Schubert varieties, flag manifolds
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Robles, C., \textit{Schubert varieties as variations of Hodge structure}, Selecta Math. (N.S.), 20, 719-768, (2014) Period matrices, variation of Hodge structure; degenerations, Grassmannians, Schubert varieties, flag manifolds, Variation of Hodge structures (algebro-geometric aspects)
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Stratifications; constructible sheaves; intersection cohomology (complex-analytic aspects), Grassmannians, Schubert varieties, flag manifolds, Topology of real algebraic varieties
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Representations of quivers and partially ordered sets, Grassmannians, Schubert varieties, flag manifolds
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Díaz-Leal, H.; Martínez-Bernal, J.; Romero, D.: Dimension of the fixed point set of a nilpotent endomorphism on the flag variety. Bol. soc. Mat. mexicana (3) 7, 23-33 (2001) Computational aspects of higher-dimensional varieties, Grassmannians, Schubert varieties, flag manifolds, Combinatorial aspects of representation theory
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Evens, S; Graham, W, The relative Hochschild-Serre spectral sequence and the belkale-kumar product, Trans. Amer. Math. Soc., 365, 5833-5857, (2013) Cohomology of Lie (super)algebras, Grassmannians, Schubert varieties, flag manifolds, Representation theory for linear algebraic groups
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Grassmannians, Schubert varieties, flag manifolds, Representation theory for linear algebraic groups, Combinatorial aspects of representation theory, Classical problems, Schubert calculus, Coadjoint orbits; nilpotent varieties
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Special surfaces, Pencils, nets, webs in algebraic geometry, Fibrations, degenerations in algebraic geometry, Grassmannians, Schubert varieties, flag manifolds
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Grassmannians, Schubert varieties, flag manifolds, Sheaves and cohomology of sections of holomorphic vector bundles, general results
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Cerulli Irelli, G.; Feigin, E.; Reineke, M., Homological approach to the Hernandez-Leclerc construction and quiver varieties, Representation Theory, 18, 1-14, (2014) Group actions on varieties or schemes (quotients), Representations of quivers and partially ordered sets, Grassmannians, Schubert varieties, flag manifolds, Categories in geometry and topology
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics D.J. Bates, J.D. Hauenstein, C. Peterson, and A.J. Sommese, \textit{Numerical decomposition of the rank-deficiency set of a matrix of multivariate polynomials}, in Approximate Commutative Algebra, Texts Monogr. Symbol. Comput., Springer, Vienna, 2009, pp. 55--77. Computational aspects of higher-dimensional varieties, Grassmannians, Schubert varieties, flag manifolds, Computational aspects and applications of commutative rings, Matrices over function rings in one or more variables, Numerical computation of solutions to systems of equations
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Combinatorial aspects of representation theory, Symmetric functions and generalizations, Combinatorial identities, bijective combinatorics, Grassmannians, Schubert varieties, flag manifolds, Quantum groups (quantized enveloping algebras) and related deformations
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics J.Wolper, Some intersection properties of the fibres of Springer's resolution, Proc. Am. Math. Soc. 91 (1984), 182--188. Representation theory for linear algebraic groups, Classical groups (algebro-geometric aspects), Grassmannians, Schubert varieties, flag manifolds, Global theory and resolution of singularities (algebro-geometric aspects)
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics A. Knutson, A. Woo, and A. Yong, Singularities of Richardson varieties, \textit{Math. Res. Lett.}, 20 (2013), no. 2, 391--400.Zbl 1298.14053 MR 3151655 Grassmannians, Schubert varieties, flag manifolds, Classical problems, Schubert calculus
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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 Classical problems, Schubert calculus, Grassmannians, Schubert varieties, flag manifolds, Combinatorial aspects of algebraic geometry
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Grassmannians, Schubert varieties, flag manifolds, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Representation theory for linear algebraic groups
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Combinatorial aspects of algebraic geometry, Cluster algebras, Grassmannians, Schubert varieties, flag manifolds
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Bochkarev, M; Ignatyev, M; Shevchenko, A, Tangent cones to Schubert varieties in types \(A_n\), \(B_n\) and \(C_n\), J. Algebra, 465, 259-286, (2016) Grassmannians, Schubert varieties, flag manifolds, Root systems, Classical groups (algebro-geometric aspects)
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Combinatorial aspects of matroids and geometric lattices, Grassmannians, Schubert varieties, flag manifolds
| 0
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests, Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.), Simple, semisimple, reductive (super)algebras, Grassmannians, Schubert varieties, flag manifolds
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Martin, N., \textit{the class of the affine line is a zero divisor in the Grothendieck ring: an improvement}, C. R. Math. Acad. Sci. Paris, 354, 936-939, (2016) Applications of methods of algebraic \(K\)-theory in algebraic geometry, Varieties and morphisms, Grassmannians, Schubert varieties, flag manifolds
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics External book reviews, Research exposition (monographs, survey articles) pertaining to commutative algebra, Cluster algebras, Combinatorial aspects of commutative algebra, Grassmannians, Schubert varieties, flag manifolds, Poisson algebras, Root systems, \(n\)-dimensional polytopes
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Homology with local coefficients, equivariant cohomology, Equivariant algebraic topology of manifolds, Grassmannians, Schubert varieties, flag manifolds, Synthetic treatment of fundamental manifolds in projective geometries (Grassmannians, Veronesians and their generalizations)
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Li, C.; Ravikumar, V.: Equivariant Pieri rules for isotropic grassmannians Grassmannians, Schubert varieties, flag manifolds, Classical problems, Schubert calculus, Equivariant homology and cohomology in algebraic topology
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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 Grassmannians, Schubert varieties, flag manifolds, Homogeneous spaces and generalizations
| 0
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Special surfaces, Determinantal varieties, Grassmannians, Schubert varieties, flag manifolds, Projective techniques in algebraic geometry
| 0
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Quantum groups (quantized enveloping algebras) and related deformations, Grassmannians, Schubert varieties, flag manifolds, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights)
| 0
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics S. Liu and T. Shoji, Double Kostka polynomials and Hall bimodule, \doihref10.3836/tjm/1475723088Tokyo J. Math., 39 (2017), 743--776. Symmetric functions and generalizations, Combinatorial aspects of representation theory, Representation theory for linear algebraic groups, Reflection and Coxeter groups (group-theoretic aspects), Grassmannians, Schubert varieties, flag manifolds
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics V. B. Mehta and V. Srinivas, Normality of Schubert varieties, Amer. J. Math. 109 (1987), 987--989. JSTOR: Grassmannians, Schubert varieties, flag manifolds, Homogeneous spaces and generalizations
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics V. Lakshmibai. Singular loci of varieties of complexes. \textit{J. Pure Appl. Algebra} 152 (2000), 217--230. Grassmannians, Schubert varieties, flag manifolds, Linear algebraic groups over arbitrary fields
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Paramasamy, K.: Cohomology of line bundles on Schubert varieties: the rank two case, Proc. indian acad. Sci. 114, No. 4, 345-363 (2004) Grassmannians, Schubert varieties, flag manifolds, Divisors, linear systems, invertible sheaves, Classical groups (algebro-geometric aspects)
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Grassmannians, Schubert varieties, flag manifolds, Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects)
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Equivariant homology and cohomology in algebraic topology, Equivariant homotopy theory in algebraic topology, Grassmannians, Schubert varieties, flag manifolds, Finite transformation groups
| 0
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics A. Kresch and H. Tamvakis, ''Double Schubert Polynomials and Degeneracy Loci for the Classical Groups,'' Ann. Inst. Fourier 52(6), 1681--1727 (2002). Classical problems, Schubert calculus, Grassmannians, Schubert varieties, flag manifolds, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics A. N. Kirillov, \textit{On Some Combinatorial and Algebraic Properties of Dunkl Elements}, RIMS preprint, 2012. Polynomial rings and ideals; rings of integer-valued polynomials, Grassmannians, Schubert varieties, flag manifolds, Quadratic and Koszul algebras, Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects)
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Combinatorial aspects of simplicial complexes, Grassmannians, Schubert varieties, flag manifolds, Positive matrices and their generalizations; cones of matrices, Polytopes and polyhedra
| 0
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics William Graham, ``Positivity in equivariant Schubert calculus'', Duke Math. J.109 (2001) no. 3, p. 599-614 Homogeneous spaces and generalizations, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies), 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 Segal, Graeme and Wilson, George, Loop groups and equations of {K}d{V} type, Institut des Hautes Études Scientifiques. Publications Mathématiques, 61, 5-65, (1985) KdV equations (Korteweg-de Vries equations), Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions, Grassmannians, Schubert varieties, flag manifolds
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics A. Knutson, T. Tao and C. Woodward, The honeycomb model of GLn tensor products II: Puzzles determine facets of the Littlewood-Richardson cone. \textit{Journal of the American Mathematical Society }17 (2004), 19--48. arXiv:math/0107011.Zbl 1043.05111 MR 2015329 Symmetric functions and generalizations, Grassmannians, Schubert varieties, flag manifolds, Classical problems, Schubert calculus, Inequalities involving eigenvalues and eigenvectors, Representation theory for linear algebraic groups, Special polytopes (linear programming, centrally symmetric, etc.), Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry), Combinatorial aspects of representation theory
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Bykov, D., Integrable properties of \(\sigma\)-models with non-symmetric target spaces, Nucl. Phys. B, 894, 254-267, (2015) Model quantum field theories, Groups and algebras in quantum theory and relations with integrable systems, Grassmannians, Schubert varieties, flag manifolds
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Gonciulea, N.; Miller, C., Mixed ladder determinantal varieties, \textit{J. Algebra}, 231, 1, 104-137, (2000) Determinantal varieties, Grassmannians, Schubert varieties, flag manifolds
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Tchoudjem, A., Cohomologie des fibrés en droites sur les variétés magnifiques de rang minimal, Bull. Soc. Math. France, 135, 2, 171-214, (2007) Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials, Compactifications; symmetric and spherical varieties, Vanishing theorems in algebraic geometry, Other algebraic groups (geometric aspects), Grassmannians, Schubert varieties, flag manifolds
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Grassmannians, Schubert varieties, flag manifolds, Representation theory for linear algebraic groups
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Fano varieties, Families, moduli, classification: algebraic theory, Grassmannians, Schubert varieties, flag manifolds, Projective techniques in algebraic geometry
| 0
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Motivic cohomology; motivic homotopy theory, Grassmannians, Schubert varieties, flag manifolds, Classical problems, Schubert calculus
| 0
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics \beginbarticle \bauthor\binitsM. \bsnmBrion, \batitlePositivity in the Grothendieck group of complex flag varieties, \bjtitleJ. Algebra \bvolume258 (\byear2002), no. \bissue1, page 137-\blpage159. \endbarticle \OrigBibText Michel Brion, Positivity in the Grothendieck group of complex flag varieties , J. Algebra 258 (2002), no. 1, 137-159. \endOrigBibText \bptokstructpyb \endbibitem Grassmannians, Schubert varieties, flag manifolds, Homogeneous spaces and generalizations, Grothendieck groups, \(K\)-theory and commutative rings, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Mehta, V.; Srinivas, V.: A note on Schubert varieties in G/B. Math. ann. 284, 1-5 (1989) Grassmannians, Schubert varieties, flag manifolds, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal)
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Grassmannians, Schubert varieties, flag manifolds
| 0
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Inequalities involving eigenvalues and eigenvectors, Grassmannians, Schubert varieties, flag manifolds, Equivariant algebraic topology of manifolds
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Ghorpade S.R., Kaipa K.V.: Automorphism groups of Grassmann codes. Finite Fields Appl. \textbf{23}, 80-102 (2013). Linear codes (general theory), Geometric methods (including applications of algebraic geometry) applied to coding theory, Grassmannians, Schubert varieties, flag manifolds, Finite automorphism groups of algebraic, geometric, or combinatorial structures
| 0
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Grassmannians, Schubert varieties, flag manifolds, Global theory and resolution of singularities (algebro-geometric aspects)
| 0
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.), Grassmannians, Schubert varieties, flag manifolds, Brauer groups (algebraic aspects), Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting)
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics J. Bochnak and W. Kucharz, Smooth maps and real algebraic morphisms, Canad. Math. Bull. 42 (1999), 445-451. Zbl0955.14043 MR1727342 Topology of real algebraic varieties, Grassmannians, Schubert varieties, flag manifolds, Real algebraic sets, Rational and birational maps
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics General topics in linear spectral theory for PDEs, Differential complexes, Grassmannians, Schubert varieties, flag manifolds
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Chiantini, L; Ciliberto, C, A few remarks on the lifting problem, Astérisque, 218, 95-109, (1993) Projective techniques in algebraic geometry, Grassmannians, Schubert varieties, flag manifolds, Embeddings in algebraic geometry
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics K.-H. Fieseler, Towards a combinatorial intersection cohomology for fans, C. R. Acad. Sci. Paris, Sér. I Math. 330 (2000), 291--296. Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Grassmannians, Schubert varieties, flag manifolds
| 0
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Grassmannians, Schubert varieties, flag manifolds, Synthetic treatment of fundamental manifolds in projective geometries (Grassmannians, Veronesians and their generalizations), Determinantal varieties, Matroids in convex geometry (realizations in the context of convex polytopes, convexity in combinatorial structures, etc.), Equivariant homology and cohomology in algebraic topology
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Ólafsson, G., Rubin, B.: Invariant functions on Grassmannians. In: Radon Transforms, Geometry and Wavelets. Cont. Math., vol. 464, pp. 201--211. AMS, Providence (2008) Harmonic analysis on homogeneous spaces, Analysis on real and complex Lie groups, Laplace transform, Grassmannians, Schubert varieties, flag manifolds
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Kiritchenko, V; Krishna, A, Equivariant cobordism of flag varieties and of symmetric varieties, Transf. Groups, 18, 391-413, (2013) Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies), Grassmannians, Schubert varieties, flag manifolds
| 0
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Graham, W.; Zierau, R., Smooth components of Springer fibers, Ann. Inst. Fourier (Grenoble), 61, 5, 2139-2182, (2011) Grassmannians, Schubert varieties, flag manifolds, Classical groups (algebro-geometric aspects), Linear algebraic groups over the reals, the complexes, the quaternions, Semisimple Lie groups and their representations
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics S. Upadhyay, \textit{Initial ideals of tangent cones to Richardson varieties in the orthogonal Grassmannian via a orthogonal-bounded-RSK-correspondence}, preprint, http://arxiv.org/abs/0909.1424. Grassmannians, Schubert varieties, flag manifolds, Singularities in algebraic geometry, Group actions on varieties or schemes (quotients), Computational aspects of higher-dimensional varieties, Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases)
| 0
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Generalized geometries (à la Hitchin), Grassmannians, Schubert varieties, flag manifolds, General geometric structures on manifolds (almost complex, almost product structures, etc.), Differential geometry of homogeneous manifolds
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Complemented modular lattices, continuous geometries, Interpolation, preservation, definability, Grassmannians, Schubert varieties, flag manifolds, Synthetic treatment of fundamental manifolds in projective geometries (Grassmannians, Veronesians and their generalizations), Euclidean analytic geometry
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Collections of abstracts of lectures, Proceedings of conferences of miscellaneous specific interest, 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, Proceedings, conferences, collections, etc. pertaining to nonassociative rings and algebras, Proceedings, conferences, collections, etc. pertaining to group theory
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Hague C.: Cohomology of flag varieties and the Brylinski-Kostant filtration. J. Algebra 321, 3790--3815 (2009) Cohomology theory for linear algebraic groups, Representation theory for linear algebraic groups, Grassmannians, Schubert varieties, flag manifolds
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Sartori, A.: A diagram algebra for Soergel modules corresponding to smooth Schubert varieties. Trans. Amer. Math. Soc. (2013). 10.1090/tran/6346 Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Symmetric functions and generalizations, Polynomial rings and ideals; rings of integer-valued polynomials, Grassmannians, Schubert varieties, flag manifolds, Graded rings and modules (associative rings and algebras)
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Grassmannians, Schubert varieties, flag manifolds, Homology theories in knot theory (Khovanov, Heegaard-Floer, etc.), Topology of real algebraic varieties, Graded rings and modules (associative rings and algebras), ``Super'' (or ``skew'') structure, Quantum groups (quantized function algebras) and their representations
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics \beginbarticle \bauthor\binitsN. \bsnmBergeron and \bauthor\binitsF. \bsnmSottile, \batitleA Pieri-type formula for isotropic flag manifolds, \bjtitleTrans. Amer. Math. Soc. \bvolume354 (\byear2002), no. \bissue7, page 2659-\blpage2705 \bcomment(electronic). \endbarticle \OrigBibText ----, A Pieri-type formula for isotropic flag manifolds , Trans. Amer. Math. Soc. 354 (2002), no. 7, 2659-2705 (electronic). \endOrigBibText \bptokstructpyb \endbibitem Classical groups (algebro-geometric aspects), Enumerative problems (combinatorial problems) in algebraic geometry, Symmetric functions and generalizations, Combinatorics of partially ordered sets, Grassmannians, Schubert varieties, flag manifolds
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics E. Sommers, Nilpotent Orbits and the Affine Flag Manifold, Ph.D. Thesis, M.I.T, 1997. Group structures and generalizations on infinite-dimensional manifolds, Homology and cohomology of Lie groups, Infinite-dimensional Lie groups and their Lie algebras: general properties, Classical real and complex (co)homology in algebraic geometry, Grassmannians, Schubert varieties, flag manifolds
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Shapiro, B. Z.; Vainshtein, A. D.: Euler characteristics for links of Schubert cells in the space of complete flags. Adv. sov. Math. 1, 273-286 (1990) Grassmannians, Schubert varieties, flag manifolds, Stratified sets
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Grassmannians, Schubert varieties, flag manifolds, Planar graphs; geometric and topological aspects of graph theory
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Grassmannians, Schubert varieties, flag manifolds, Arithmetic varieties and schemes; Arakelov theory; heights, (Equivariant) Chow groups and rings; motives, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Savage, A; Tingley, P, Quiver Grassmannians, quiver varieties and the preprojective algebra, Pacific J. Math., 251, 393-429, (2011) Representations of quivers and partially ordered sets, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Grassmannians, Schubert varieties, flag manifolds, Group actions on affine varieties, Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras
| 0
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Symmetric functions and generalizations, Grassmannians, Schubert varieties, flag manifolds
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Th. Fiedler, ''A characteristic class for totally real surfaces in the grassmanian of two-planes in four-space,''Ann. Global Anal. Geom.,4, 121--132 (1986). Twistor theory, double fibrations (complex-analytic aspects), Grassmannians, Schubert varieties, flag manifolds, Synthetic treatment of fundamental manifolds in projective geometries (Grassmannians, Veronesians and their generalizations)
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics I. Mirković and K. Vilonen, ''Perverse sheaves on affine Grassmannians and Langlands duality,'' Math. Res. Lett., vol. 7, iss. 1, pp. 13-24, 2000. Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies), Grassmannians, Schubert varieties, flag manifolds, Representation theory for linear algebraic groups, Presheaves and sheaves, stacks, descent conditions (category-theoretic aspects)
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Combinatorial aspects of representation theory, Grassmannians, Schubert varieties, flag manifolds, Representations of finite symmetric groups, Planar graphs; geometric and topological aspects of graph theory
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Enumerative problems (combinatorial problems) in algebraic geometry, Classical problems, Schubert calculus, Grassmannians, Schubert varieties, flag manifolds, Combinatorial aspects of algebraic geometry, Equivariant \(K\)-theory
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Karuppuchamy, P., On Schubert varieties, Commun. Algebra, 41, 4, 1365-1368, (2013) Grassmannians, Schubert varieties, flag manifolds, Toric varieties, Newton polyhedra, Okounkov bodies
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Special quantum systems, such as solvable systems, Selfadjoint operator theory in quantum theory, including spectral analysis, \(n\)-vertex theorems via direct methods, Grassmannians, Schubert varieties, flag manifolds, Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.)
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Glynn D.G., Maks J.G., Casse L.R.A.: The polynomial degree of the Grassmannian G(1, n, q)of lines in finite projective space PG(n, q). Des. Codes Cryptogr. 40, 335--341 (2006) Grassmannians, Schubert varieties, flag manifolds, Linear codes and caps in Galois spaces, Geometric methods (including applications of algebraic geometry) applied to coding theory
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Achar, P., Henderson, A.: Geometric Satake, Springer correspondence, and small representations. Preprint. arXiv:1108.4999 (2012) Coadjoint orbits; nilpotent varieties, Group actions on varieties or schemes (quotients), Grassmannians, Schubert varieties, flag manifolds, Representation theory for linear algebraic groups
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Allman, Justin, Grothendieck classes of quiver cycles as iterated residues, Michigan Math. J., 63, 4, 865-888, (2014) Grassmannians, Schubert varieties, flag manifolds, Equivariant \(K\)-theory, Symmetric functions and generalizations, Representations of quivers and partially ordered sets
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Heier, G.; Takayama, S., Effective degree bounds for generalized Gauss map images \textit{Adv. Stud. Pure Math.}, 74, 203-235, (2017) Projective techniques in algebraic geometry, Grassmannians, Schubert varieties, flag manifolds, Classical problems, Schubert calculus, \(n\)-folds (\(n>4\))
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