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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 Complex Lie groups, group actions on complex spaces, Grassmannians, Schubert varieties, flag manifolds, General properties and structure of complex Lie groups
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Insko, Erik, Schubert calculus and the homology of the Peterson variety, Electron. J. Combin., 22, 2, (2015) Grassmannians, Schubert varieties, flag manifolds, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Classical problems, Schubert calculus, Classical real and complex (co)homology in algebraic geometry
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Other connections, Sub-Riemannian geometry, Grassmannians, Schubert varieties, flag manifolds, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Semisimple Lie groups and their representations, General geometric structures on manifolds (almost complex, almost product structures, etc.), Differential geometry of homogeneous manifolds, Natural bundles, Invariance and symmetry properties for PDEs on manifolds, Nonlinear systems in control theory
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Donovan, W., Segal, E.: Window shifts, flop equivalences and Grassmannian twists. Compos. Math. \textbf{150}(6), 942-978 (2014). arXiv:1206.0219 Grassmannians, Schubert varieties, flag manifolds
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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
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics S. Billy, V. Lakshimibai, \textit{Singular Loci of Schubert Varieties}, Progress in Mathematics, Vol. 182, Birkhäuser, Boston, 2000. Grassmannians, Schubert varieties, flag manifolds, Group actions on varieties or schemes (quotients)
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Grassmannians, Schubert varieties, flag manifolds, Lyusternik-Shnirel'man category of a space, topological complexity à la Farber, topological robotics (topological aspects), Algebraic topology of manifolds
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Representation theory for linear algebraic groups, Grassmannians, Schubert varieties, flag manifolds, Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials, Cohomology theory for linear algebraic groups
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Determinantal varieties, Algebraic combinatorics, Combinatorics of partially ordered sets
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Grassmannians, Schubert varieties, flag manifolds, Exterior algebra, Grassmann algebras, Vertex operators; vertex operator algebras and related structures, Symmetric functions and generalizations
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Proceedings, conferences, collections, etc. pertaining to nonassociative rings and algebras, Lie algebras and Lie superalgebras, Quantum groups and related algebraic methods applied to problems in quantum theory, Representation theory for linear algebraic groups, Schur and \(q\)-Schur algebras, Grassmannians, Schubert varieties, flag manifolds, Proceedings of conferences of miscellaneous specific interest
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics DOI: 10.1016/S0012-365X(01)00256-4 Determinantal varieties, Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series, Exact enumeration problems, generating functions, Combinatorial identities, bijective combinatorics, Combinatorial aspects of representation theory, Grassmannians, Schubert varieties, flag manifolds, Linkage, complete intersections and determinantal ideals
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Arrangements of points, flats, hyperplanes (aspects of discrete geometry), Combinatorial aspects of matroids and geometric lattices, Grassmannians, Schubert varieties, flag manifolds
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics A. Altomani - C. Medori - M. Nacinovich, The CR structure of minimal orbits in complex flag manifolds, J. Lie Theory, 16 (2006), pp. 483--530. Zbl1120.32023 MR2248142 CR structures, CR operators, and generalizations, Grassmannians, Schubert varieties, flag manifolds, Simple, semisimple, reductive (super)algebras, General properties and structure of real Lie groups, Homogeneous complex manifolds
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Inequalities involving eigenvalues and eigenvectors, Positive matrices and their generalizations; cones of matrices, Hermitian, skew-Hermitian, and related matrices, Eigenvalues, singular values, and eigenvectors, Inequalities and extremum problems involving convexity in convex geometry, Grassmannians, Schubert varieties, flag manifolds, Combinatorial aspects of algebraic geometry, Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies), Classical problems, Schubert calculus, Equivariant algebraic topology of manifolds
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Representations of quivers and partially ordered sets, Algebraic moduli problems, moduli of vector bundles, Enumerative problems (combinatorial problems) in algebraic geometry, Cluster algebras, Quantum groups (quantized enveloping algebras) and related deformations, Grassmannians, Schubert varieties, flag manifolds
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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, Generalized (extraordinary) homology and cohomology theories in algebraic topology, Bordism and cobordism theories and formal group laws in algebraic topology, Symmetric functions and generalizations, Classical problems, Schubert calculus, Combinatorial aspects of algebraic geometry
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Williamson, Geordie, A reducible characteristic variety in type \(A\).Representations of reductive groups, Prog. Math. Phys. 312, 517-532, (2015), Birkhäuser/Springer, Cham Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.), Intersection homology and cohomology in algebraic topology, Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials, Grassmannians, Schubert varieties, flag manifolds
| 0
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Grassmannians, Schubert varieties, flag manifolds, Combinatorial aspects of representation theory, Equivariant homology and cohomology in algebraic topology, Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies)
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Boudhraa, Z.: Resolution of singularities of Schubert cycles. J. pure appl. Algebra 90, No. 2, 105-113 (1993) Global theory and resolution of singularities (algebro-geometric aspects), Grassmannians, Schubert varieties, flag manifolds
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Homogeneous spaces and generalizations, Grassmannians, Schubert varieties, flag manifolds, Special algebraic curves and curves of low genus, 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 Tamvakis, H.; Wilson, E., \textit{double theta polynomials and equivariant Giambelli formulas}, Math. Proc. Cambridge Philos. Soc., 160, 353-377, (2016) Grassmannians, Schubert varieties, flag manifolds, Symmetric functions and generalizations, Classical problems, Schubert calculus, Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies)
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Flaschka, H.; Haine, L.: Variété de drapeaux et réseaux de Toda. Math. Z. 208, 545-556 (1991) 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 Finkelberg, M.; Kamnitzer, J.; Pham, K.; Rybnikov, L.; Weekes, A., Comultiplication for shifted Yangians and quantum open Toda lattice, Adv. Math., 327, 349-389, (2018) Groups and algebras in quantum theory and relations with integrable systems, Geometry and quantization, symplectic methods, Selfadjoint operator theory in quantum theory, including spectral analysis, Quantum dynamics and nonequilibrium statistical mechanics (general), Grassmannians, Schubert varieties, flag manifolds, Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Frobenius manifolds, Lagrangian submanifolds; Maslov index, 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 C.S. Seshadri : Normality of Schubert variety . Proceeding de ''Algebraic Geometry'' (Bombay, Avril 1984). Grassmannians, Schubert varieties, flag manifolds, Singularities in algebraic geometry
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Guo, J., Lu, Z., Sharpe, E.: Classical sheaf cohomology rings on Grassmannians. arXiv:1605.01410 Grassmannians, Schubert varieties, flag manifolds
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Combinatorial aspects of algebraic geometry, Combinatorial aspects of simplicial complexes, Grassmannians, Schubert varieties, flag manifolds, Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases), Permutations, words, matrices
| 0
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Grassmannians, Schubert varieties, flag manifolds, Combinatorial aspects of representation theory
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Balogh, F.; Fonseca, T.; Harnad, J., Finite dimensional KP tau functions. I. finite grassmanians, J. Math. Phys., 55, 8, 083517, (2014) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.), 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 F. Sottile, R. Vakil, and J. Verschelde, \textit{Solving Schubert problems with Littlewood-Richardson homotopies}, Proc. ISSAC 2010 (Stephen M. Watt, ed.), ACM, 2010, pp. 179-186. Symbolic computation and algebraic computation, Grassmannians, Schubert varieties, flag manifolds, Classical problems, Schubert calculus
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Symmetric functions and generalizations, Enumeration in graph theory, Grassmannians, Schubert varieties, flag manifolds
| 0
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Grassmannians, Schubert varieties, flag manifolds, Quantum groups (quantized function algebras) and their representations, Quantum groups (quantized enveloping algebras) and related deformations
| 0
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Numerical methods for differential-algebraic equations, Grassmannians, Schubert varieties, flag manifolds
| 0
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Kai Köhler and Damian Roessler, A fixed point formula of Lefschetz type in Arakelov geometry. I. Statement and proof, Invent. Math. 145 (2001), no. 2, 333 -- 396. , https://doi.org/10.1007/s002220100151 K. Köhler and D. Roessler, A fixed point formula of Lefschetz type in Arakelov geometry. II. A residue formula, Ann. Inst. Fourier (Grenoble) 52 (2002), no. 1, 81 -- 103 (English, with English and French summaries). Christian Kaiser and Kai Köhler, A fixed point formula of Lefschetz type in Arakelov geometry. III. Representations of Chevalley schemes and heights of flag varieties, Invent. Math. 147 (2002), no. 3, 633 -- 669. Arithmetic varieties and schemes; Arakelov theory; heights, Grassmannians, Schubert varieties, flag manifolds, Determinants and determinant bundles, analytic torsion, Representation theory for linear algebraic groups, Heights
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Special quantum systems, such as solvable systems, Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics, Grassmannians, Schubert varieties, flag manifolds, Coherent states, Geometry and quantization, symplectic methods, Supersymmetry and quantum mechanics, Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices, Constrained dynamics, Dirac's theory of constraints, Renormalization group methods in equilibrium statistical mechanics
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Abe, H; Matsumura, T, Equivariant cohomology of weighted Grassmannians and weighted Schubert classes, Int. Math. Res. Not. IMRN, 9, 2499-2524, (2015) Grassmannians, Schubert varieties, flag manifolds, Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies)
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Peyghan, E.; Tayebi, A.: A Kähler structure on Finsler spaces with non-zero constant flag curvature, J. math. Phys. 51, 1-11 (2010) Quantization of the gravitational field, String and superstring theories in gravitational theory, Global differential geometry of Finsler spaces and generalizations (areal metrics), Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds, Grassmannians, Schubert varieties, flag manifolds, Special Riemannian manifolds (Einstein, Sasakian, etc.)
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Grassmannians, Schubert varieties, flag manifolds, Linkage, complete intersections and determinantal ideals, Combinatorial aspects of commutative algebra, Characteristic \(p\) methods (Frobenius endomorphism) and reduction to characteristic \(p\); tight closure, Complete intersections
| 0
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Complete intersections, Parametrization (Chow and Hilbert schemes), Grassmannians, Schubert varieties, flag manifolds, Rational and unirational varieties
| 0
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics L. Manivel. ''Applications de Gauss et pléthysme''. Ann. Inst. Fourier 47 (1997), pp. 715--773. DOI. 12 Emmanuel Briand, Amarpreet Rattan and Mercedes Rosas Combinatorial aspects of representation theory, Grassmannians, Schubert varieties, flag manifolds, Representation theory for linear algebraic groups, Representations of finite symmetric groups
| 0
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Commutative rings defined by binomial ideals, toric rings, etc., Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases), Grassmannians, Schubert varieties, flag manifolds
| 0
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics B. Elias, N. Proudfoot, and M. Wakefield, The Kazhdan-Lusztig polynomial of a matroid, \textit{Adv.} \textit{Math.}, 299 (2016), 36--70.Zbl 1341.05250 MR 3519463 Combinatorial aspects of representation theory, Combinatorial aspects of matroids and geometric lattices, Matroids in convex geometry (realizations in the context of convex polytopes, convexity in combinatorial structures, etc.), Grassmannians, Schubert varieties, flag manifolds, Representations of finite symmetric groups
| 0
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Arithmetic aspects of modular and Shimura varieties, Modular and Shimura varieties, Linear algebraic groups over local fields and their integers, Grassmannians, Schubert varieties, flag manifolds, Witt vectors and related rings
| 0
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Linear algebraic groups over the reals, the complexes, the quaternions, Grassmannians, Schubert varieties, flag manifolds, Representation theory for linear algebraic groups
| 0
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Rational homotopy theory, Classification of homotopy type, Function spaces in general topology, Grassmannians, Schubert varieties, flag manifolds, Fiber bundles in algebraic topology
| 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, Connective \(K\)-theory, cobordism, Bordism and cobordism theories and formal group laws in algebraic topology, Homology and cohomology of homogeneous spaces of Lie groups, Equivariant cobordism
| 0
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Muthiah, D., Double MV cycles and the naito-sagaki-Saito crystal, Adv. Math., (2013) Linear algebraic groups over the reals, the complexes, the quaternions, Kac-Moody groups, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras, 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 Mañnas M, J. Geo. Phys. 29 pp 13-- (1999) 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
| 0
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics H. Duan, X. Zhao, Appendix to ''The Chow rings of generalized Grassmannians'', arXiv:math.AG/0510085 . (Equivariant) Chow groups and rings; motives, Grassmannians, Schubert varieties, flag manifolds
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Hu, Y, Stable configurations of linear subspaces and quotient coherent sheaves, Q. J. Pure. Appl. Math., 1, 127-146, (2005) Geometric invariant theory, Grassmannians, Schubert varieties, flag manifolds
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Perrin N., Rational curves on minuscule Schubert varieties, J. Algebra, 2005, 294(2), 431--462 Grassmannians, Schubert varieties, flag manifolds, Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects)
| 0
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics M. Yakimov, Strata of prime ideals of De Concini--Kac--Procesi algebras and Poisson geometry, In: New Trends in Noncommutative Algebra, Contemp. Math., 562, 265 278, Amer. Math. Soc., Providence, RI, 2012. Quantum groups (quantized enveloping algebras) and related deformations, Ring-theoretic aspects of quantum groups, Grassmannians, Schubert varieties, flag manifolds
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Manin, Y.I., Voronov, A.A.: Supercellular partitions of flag superspaces. Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Nov. Dostizh. VINITI Moscow \textbf{32}, 27-70 (1988) Supermanifolds and graded manifolds, Complex supergeometry, Supervarieties, Grassmannians, Schubert varieties, flag manifolds
| 0
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Linear algebraic groups over the reals, the complexes, the quaternions, Grassmannians, Schubert varieties, flag manifolds, Group actions on varieties or schemes (quotients)
| 0
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Fine and coarse moduli spaces, Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series, Grassmannians, Schubert varieties, flag manifolds
| 0
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics C. Özel, ``On the cohomology ring of the infinite flag manifold LG/T,'' Turkish Journal of Mathematics, vol. 22, no. 4, pp. 415-448, 1998. Cohomology of Lie (super)algebras, Homology and cohomology of homogeneous spaces of Lie groups, Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras, Grassmannians, Schubert varieties, flag manifolds, Loop groups and related constructions, group-theoretic treatment
| 0
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics J. S. Tymoczko. ''Linear conditions imposed on flag varieties''. Amer. J. Math. 128 (2006), pp. 1587--1604.DOI. Grassmannians, Schubert varieties, flag manifolds, Combinatorial aspects of representation theory, Classical groups (algebro-geometric aspects), Linear algebraic groups over the reals, the complexes, the quaternions
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics R. Hermann and C. Martin, ''Application of algebraic geometry to systems theory: Part II: The McMillan degree and Kronecker indices as topological and holomorphic invariants,''SIAM J. Contr. Optimiz.,16, 743--755 (1978). Algebraic methods, Vector and tensor algebra, theory of invariants, Multivariable systems, multidimensional control systems, Grassmannians, Schubert varieties, flag manifolds
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Küchle, O, Some properties of Fano manifolds that are zeros of sections in homogeneous vector bundles over Grassmannians, Pac. J. Math., 175, 117-125, (1996) Fano varieties, \(4\)-folds, Grassmannians, Schubert varieties, flag manifolds, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry
| 0
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Enumerative problems (combinatorial problems) in algebraic geometry, Grassmannians, Schubert varieties, flag manifolds, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry
| 0
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Fiebig, P. & Williamson, G., Parity sheaves, moment graphs and the p-smooth locus of Schubert varieties. \textit{Ann. Inst. Fourier (Grenoble)}, 64 (2014), 489-536. Classical groups (algebro-geometric aspects), Modular representations and characters, Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.), Intersection homology and cohomology in algebraic topology, Equivariant homology and cohomology in algebraic topology, Grassmannians, Schubert varieties, flag manifolds
| 0
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics A. Pressley and G. Segal, \textit{Loop Groups}, Clarendon Press, Oxford (1986). Infinite-dimensional Lie groups and their Lie algebras: general properties, Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras, Research exposition (monographs, survey articles) pertaining to topological groups, Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.), Grassmannians, Schubert varieties, flag manifolds, Harmonic analysis on homogeneous spaces, Homogeneous complex manifolds
| 0
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Surfaces of general type, Calabi-Yau manifolds (algebro-geometric aspects), Grassmannians, Schubert varieties, flag manifolds
| 0
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Grassmannians, Schubert varieties, flag manifolds, Toric varieties, Newton polyhedra, Okounkov bodies, Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry)
| 0
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Rietsch, K.: Intersections of Bruhat cells in real flag varieties. Int. Math. Res. Not. 13, 623--640 (1997) Representation theory for linear algebraic groups, Grassmannians, Schubert varieties, flag manifolds, Cohomology theory for linear algebraic groups
| 0
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Duchamp, G., Krob, D., Lascoux, A., Leclerc, B., Scharf, T., Thibon, J.Y.: Euler-Poincaré characteristic and polynomial representations of Iwahori-Hecke algebras. Publ. RIMS \textbf{31}, 179-201 (1995) Combinatorial aspects of representation theory, Representations of finite symmetric groups, Grassmannians, Schubert varieties, flag manifolds, Applications of linear algebraic groups to the sciences
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Maria Angelica Cueto, Mathias Häbich & Annette Werner, ``Faithful tropicalization of the Grassmannian of planes'', Math. Ann.360 (2014) no. 1-2, p. 391-437 Grassmannians, Schubert varieties, flag manifolds, Rigid analytic geometry, Topology of analytic spaces
| 0
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Katz, S.: The desingularization of hilb4p3 and its Betti numbers. Zero-dimensional schemes, 231-242 (1994) Parametrization (Chow and Hilbert schemes), Global theory and resolution of singularities (algebro-geometric aspects), Grassmannians, Schubert varieties, flag manifolds, Topological properties in algebraic geometry
| 0
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Grassmannians, Schubert varieties, flag manifolds, Groups with a \(BN\)-pair; buildings
| 0
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Sara Billey and Ravi Vakil, Intersections of Schubert varieties and other permutation array schemes, Algorithms in algebraic geometry, IMA Vol. Math. Appl., vol. 146, Springer, New York, 2008, pp. 21 -- 54. Grassmannians, Schubert varieties, flag manifolds, Homogeneous spaces and generalizations
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics V. Lakshmibai, K. N. Raghavan, P. Sankaran, Wahl's conjecture holds in odd characteristics for symplectic and orthogonal Grassmannians, Cent. Eur. J. Math. 7 (2009), no. 2, 21423. Grassmannians, Schubert varieties, flag manifolds, Mappings of semigroups, Linear algebraic groups over arbitrary fields
| 0
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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, Simple, semisimple, reductive (super)algebras, Representation theory for linear algebraic groups, Linear algebraic groups over global fields and their integers
| 0
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Solving polynomial systems; resultants, Computational aspects of higher-dimensional varieties, Grassmannians, Schubert varieties, flag manifolds, Symbolic computation and algebraic computation
| 0
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Rosso, D, \textit{the mirabolic Hecke algebra}, J. Algebra, 405, 179-212, (2014) Hecke algebras and their representations, Group actions on varieties or schemes (quotients), Combinatorial aspects of representation theory, Grassmannians, Schubert varieties, flag manifolds
| 0
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics E. Bifet, C. De Concini, C. Procesi, \textit{Cohomology of regular embeddings}, Adv. Math. \textbf{82} (1990), 1-34. Classical real and complex (co)homology in algebraic geometry, Embeddings in algebraic geometry, Homogeneous spaces and generalizations, Toric varieties, Newton polyhedra, Okounkov bodies, Grassmannians, Schubert varieties, flag manifolds
| 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), Positive matrices and their generalizations; cones of matrices, Classical problems, Schubert calculus, Grassmannians, Schubert varieties, flag manifolds
| 0
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Differential geometry of homogeneous manifolds, Grassmannians, Schubert varieties, flag manifolds
| 0
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Grassmannians, Schubert varieties, flag manifolds, Group schemes, Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem), Simple, semisimple, reductive (super)algebras, Linear algebraic groups over arbitrary fields, Loop groups and related constructions, group-theoretic treatment
| 0
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Vector bundles on curves and their moduli, Grassmannians, Schubert varieties, flag manifolds, Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Frobenius manifolds, Topology of surfaces (Donaldson polynomials, Seiberg-Witten invariants)
| 0
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics M. I. Qureshi and B. Szendroi \({ref.surNamesEn}, Calabi-Yau threefolds in weighted flag varieties,, \)Adv. High Energy Physics\(, 2012, (2012)\) String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Calabi-Yau manifolds (algebro-geometric aspects), Grassmannians, Schubert varieties, flag manifolds, Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory), Topology and geometry of orbifolds
| 0
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Barchini, L.; Zierau, R.: Components of Springer fibers associated to closed orbits for the symmetric pairs \((Sp(n),Sp(p){\times}Sp(q))\) and \((SO(2n),GL(n))\) I, J. pure appl. Algebra 217, No. 10, 1807-1824 (2013) Semisimple Lie groups and their representations, Linear algebraic groups over the reals, the complexes, the quaternions, Coadjoint orbits; nilpotent varieties, Grassmannians, Schubert varieties, flag manifolds, Representation theory for linear algebraic groups
| 0
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Martín, López, A.: Gromov-Witten invariants and rational curves on Grassmannians, J. Geom. Phys., 61, 213-216, (2011) Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Grassmannians, Schubert varieties, flag manifolds, Classical problems, Schubert calculus
| 0
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Polytopes and polyhedra, Arrangements of points, flats, hyperplanes (aspects of discrete geometry), Yang-Mills and other gauge theories in quantum field theory, Grassmannians, Schubert varieties, flag manifolds
| 0
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Special divisors on curves (gonality, Brill-Noether theory), Grassmannians, Schubert varieties, flag manifolds, Symmetric functions and generalizations
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Neretin, YA, The space \(L\)\^{}\{2\} on semi-infinite Grassmannian over finite field, Adv. Math., 250, 320-350, (2014) Grassmannians, Schubert varieties, flag manifolds, Representations of infinite symmetric groups, General groups of measure-preserving transformations, Group structures and generalizations on infinite-dimensional manifolds, Linear algebraic groups over finite fields, Finite ground fields in algebraic geometry
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Lascoux, A; Pragacz, P, Operator calculus for \({\widetilde{Q}}\)-polynomials and Schubert polynomials, Adv. Math., 140, 1-43, (1998) Grassmannians, Schubert varieties, flag manifolds, Symmetric functions and generalizations, Determinantal varieties, Enumerative problems (combinatorial problems) in algebraic geometry
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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, Classical problems, Schubert calculus
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Calmès, B.; Petrov, V.; Semenov, N.; Zainoulline, K., Chow motives of twisted flag varieties, Compos. Math., 142, 4, 1063-1080, (2006) Motivic cohomology; motivic homotopy theory, Homology and cohomology of homogeneous spaces of Lie groups, Algebraic cycles and motivic cohomology (\(K\)-theoretic aspects), Grassmannians, Schubert varieties, flag manifolds
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics A. Braverman and M. Finkelberg, Pursuing the double affine Grassmannian. I. Transversal slices via instantons on Ak-singularities, \textit{Duke Math. J.}, 152 (2010), no. 2, 175--206. Zbl 1200.14083 MR 2656088 Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory), Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies), Grassmannians, Schubert varieties, flag manifolds, Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras, Kac-Moody groups, Geometric Langlands program: representation-theoretic aspects
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Duan, H.: The degree of a Schubert variety. Advances in Mathematics 180(1), 112--133 (2003) Grassmannians, Schubert varieties, flag manifolds, Classical problems, Schubert calculus
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Parametrization (Chow and Hilbert schemes), Grassmannians, Schubert varieties, flag manifolds, (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 Hansen, J. P.; Johnsen, T.; Ranestad, K.: Grassmann codes and Schubert unions, Séminaires et congrès 21, 103-121 (2009) Grassmannians, Schubert varieties, flag manifolds, Geometric methods (including applications of algebraic geometry) applied to coding theory
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Lenart, C.: A unified approach to combinatorial formulas for Schubert polynomials. J. Algebr. Comb. 20, 263--299 (2004) Grassmannians, Schubert varieties, flag manifolds, Combinatorial aspects of representation theory
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Eriksson, K.; Linusson, S.: A decomposition of F\$ell(n)\(d indexed by permutation arrays. Adv. appl. Math. 25, 212-227 (2000)\) Grassmannians, Schubert varieties, flag manifolds, Permutations, words, matrices
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Kannan, S. S., Torus quotients of homogeneous spaces, \textit{Proc. Indian Acad. Sci. (Math. Sci.)}, 108, 1, 1-12, (1998) Homogeneous spaces and generalizations, Grassmannians, Schubert varieties, flag manifolds, Vanishing theorems in algebraic geometry
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Berenstein, A., Kazhdan, D.: Lecture notes on geometric crystals and their combinatorial analogues. Combinatorial aspect of integrable systems. MSJ Mem. vol. 17, pp. 1--9, Mathematical Society of Japan, Tokyo (2007) Quantum groups (quantized enveloping algebras) and related deformations, Grassmannians, Schubert varieties, flag manifolds
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Combinatorial aspects of algebraic geometry, Symmetric functions and generalizations, Classical problems, Schubert calculus, Grassmannians, Schubert varieties, flag manifolds, Graph polynomials, Combinatorial aspects of representation theory, 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 Paulos, MF; Schwab, BUW, Cluster algebras and the positive Grassmannian, JHEP, 1410, 31, (2014) Cluster algebras, Grassmannians, Schubert varieties, flag manifolds, Supersymmetric field theories in quantum mechanics, Yang-Mills and other gauge theories in quantum field theory
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Grassmannians, Schubert varieties, flag manifolds, Algebraic combinatorics Knutson, A.; Yong, A., A formula for K-theory truncation Schubert calculus, Int. Math. Res. Not., 70, 3741-3756, (2004) Classical problems, Schubert calculus, Grassmannians, Schubert varieties, flag manifolds, Applications of methods of algebraic \(K\)-theory in algebraic geometry, \(K\)-theory of schemes
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