From conjugacy classes in the Weyl group to unipotent classes, II

DOI10.1090/S1088-4165-2012-00411-3zbMath1264.20043arXiv1104.0196OpenAlexW4212912994MaRDI QIDQ2889349

George Lusztig

Publication date: 7 June 2012

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

Full work available at URL: https://arxiv.org/abs/1104.0196

zbMATH Keywords

Weyl groupsrepresentationsCoxeter elementsconnected reductive algebraic groupsunipotent conjugacy classesBruhat double cosets

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Linear algebraic groups over arbitrary fields (20G15) Reflection and Coxeter groups (group-theoretic aspects) (20F55)

Related Items (10)

Elliptic Weyl group elements and unipotent isometries with 𝑝=2 ⋮ Strictly transversal slices to conjugacy classes in algebraic groups ⋮ Distinguished conjugacy classes and elliptic Weyl group elements ⋮ From conjugacy classes in the Weyl group to unipotent classes, III ⋮ Distinguished strata in a reductive group ⋮ Regular elements in bases of Hecke algebras ⋮ On Lusztig's map for spherical unipotent conjugacy classes in disconnected groups ⋮ Minimal reduction type and the Kazhdan-Lusztig map ⋮ Partial orders on conjugacy classes in the Weyl group and on unipotent conjugacy classes ⋮ On conjugacy classes in a reductive group

Cites Work

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• On unipotent and nilpotent pieces for classical groups.
• On some partitions of a flag manifold.
• Unipotent elements in small characteristic. III. (With an appendix with T. Xue).
• On \(C\)-small conjugacy classes in a reductive group.
• Intersection cohomology complexes on a reductive group
• Unipotent elements in small characteristic.
• Unipotent elements in small characteristic. II.
• Fixed point varieties on affine flag manifolds
• Classes unipotentes et sous-groupes de Borel
• Notes on unipotent classes
• From conjugacy classes in the Weyl group to unipotent classes

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