On the reflection representation in Springer's theory

DOI10.1007/BF02566669zbMath0823.20041MaRDI QIDQ1190212

Nicolas Spaltenstein

Publication date: 27 September 1992

Published in: Commentarii Mathematici Helvetici (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/140252

zbMATH Keywords

Weyl groupsparabolic subgroupscohomology groupsfinite Coxeter groups\(l\)-adic cohomologyLie algebrasclassical groupsarrangements of hyperplanesconnected reductive algebraic groupsBorel subgroupsSpringer representationsmultiplicity of reflection representation

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Group actions on varieties or schemes (quotients) (14L30) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Cohomology theory for linear algebraic groups (20G10)

Related Items (8)

Unnamed Item ⋮ Cell decomposition in the affine weyl group w_A([Btilde₄)] ⋮ Exterior powers of the reflection representation in the cohomology of Springer fibres ⋮ The decomposition into cells of the affine weyl group of type [Btilde₃] ⋮ Weyl group \(q\)-Kreweras numbers and cyclic sieving ⋮ Homology of generalized Steinberg varieties and Weyl group invariants ⋮ Exterior powers of the reflection representation in Springer theory ⋮ Rational points on generalized flag varieties and unipotent conjugacy in finite groups of Lie type

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