SchurQ-functions and cohomology of isotropic Grassmannians

DOI10.1017/S0305004100069917zbMath0729.20018OpenAlexW2017686054MaRDI QIDQ3353249

Tadeusz Józefiak

Publication date: 1991

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0305004100069917

zbMATH Keywords

Weyl groupChern classline bundlecharacter groupsymmetric algebraDynkin diagramBorel subgroupmaximal torussemisimple algebraic group

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Group actions on varieties or schemes (quotients) (14L30) Cohomology theory for linear algebraic groups (20G10)

Related Items

Schubert classes in the equivariant cohomology of the Lagrangian Grassmannian, Double Schubert polynomials for the classical groups, Candidate for the crystal \(B(-\infty)\) for the queer Lie superalgebra, Quadratic degenerations of odd-orthogonal Schubert varieties, The universal factorial Hall–Littlewood $P$- and $Q$-functions, Staircase skew Schur functions are Schur \(P\)-positive, Schubert polynomials and Arakelov theory of orthogonal flag varieties, A Pieri-type formula for isotropic flag manifolds, Schubert polynomials, theta and eta polynomials, and Weyl group invariants, Schur functions and affine Lie algebras, Pfaffian formulas and Schur \(Q\)-function identities, Schur $P$-positivity and Involution Stanley Symmetric Functions, Neutral-fermionic presentation of the \(K\)-theoretic \(Q\)-function

Cites Work

• Pieri formula for \(SO_{2n+1}/U_ n\) and \(Sp_ n/U_ n\)
• Shifted tableaux and the projective representations of symmetric groups
• Combinatorics and intersections of Schubert varieties
• Invariants symétriques entiers des groupes de Weyl et torsion
• A Note on the Multiplication of Hall Functions