Schubert cells and representation theory

DOI10.1007/S002220050334zbMath0954.22011OpenAlexW2004196826MaRDI QIDQ1298085

Robert J. Stanton, Luis G. Casian

Publication date: 30 January 2001

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002220050334

zbMATH Keywords

integral cohomologyperverse sheafreal flag manifoldparabolic subgroupHarish-Chandra modulereal reductive groupSchubert cell

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) Sheaf cohomology in algebraic topology (55N30) Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) (22E47) Homology and cohomology of homogeneous spaces of Lie groups (57T15)

Related Items (10)

On the cohomology rings of real flag manifolds: Schubert cycles ⋮ Singular structure of Toda lattices and cohomology of certain compact Lie groups ⋮ Chow-Witt rings of Grassmannians ⋮ Orientability of vector bundles over real flag manifolds ⋮ Cellular homology of real maximal isotropic Grassmannians ⋮ A correspondence between boundary coefficients of real flag manifolds and height of roots ⋮ On the topology of minimal orbits in complex flag manifolds ⋮ Toda lattice, cohomology of compact Lie groups and finite Chevalley groups ⋮ Fifty years of the finite nonperiodic Toda lattice: a geometric and topological viewpoint ⋮ Cellular homology of real flag manifolds

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