Homology of generalized Steinberg varieties and Weyl group invariants

DOI10.1090/S0002-9947-08-04570-4zbMath1153.22014arXivmath/0505567OpenAlexW1990117358MaRDI QIDQ3532550

J. Matthew Douglass, Gerhard Röhrle

Publication date: 28 October 2008

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0505567

zbMATH Keywords

parabolic subgroupsBorel subgroupsBorel-Moore homologyWeyl group actiongeneralized Steinberg varieties

Mathematics Subject Classification ID

Grassmannians, Schubert varieties, flag manifolds (14M15) Semisimple Lie groups and their representations (22E46) Sheaf cohomology in algebraic topology (55N30) Linear algebraic groups and related topics (20G99)

Related Items (2)

The Steinberg variety and representations of reductive groups. ⋮ Equivariant \(K\)-theory of generalized Steinberg varieties

Cites Work

• Intersection homology. II
• Intersection cohomology. (Notes of a Seminar on Intersection Homology at the University of Bern, Switzerland, Spring 1983)
• A topological approach to Springer's representations
• Green polynomials and singularities of unipotent classes
• On the reflection representation in Springer's theory
• On the desingularization of the unipotent variety
• Trigonometric sums, Green functions of finite groups and representations of Weyl groups
• The geometry of generalized Steinberg varieties.
• Picard-Lefschetz theory for the coadjoint quotient of a semisimple Lie algebra
• Categorical framework for the study of singular spaces
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