Elliptic elements in a Weyl group: a homogeneity property

DOI10.1090/S1088-4165-2012-00409-5zbMath1282.20054arXiv1007.5040OpenAlexW2964327163MaRDI QIDQ2889347

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/1007.5040

zbMATH Keywords

Weyl groupshomogeneous spacesCoxeter groupsorbitsflag varietiesreductive groupsBorel subgroupsunipotent conjugacy classeselliptic conjugacy classes

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Linear algebraic groups over arbitrary fields (20G15) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Grassmannians, Schubert varieties, flag manifolds (14M15)

Related Items (5)

A generalization of Steinberg’s cross section ⋮ Euler characteristic of analogues of a Deligne-Lusztig variety for \(\mathrm{GL}_{n}\) ⋮ Distinguished conjugacy classes and elliptic Weyl group elements ⋮ From conjugacy classes in the Weyl group to unipotent classes, III ⋮ On the generalised Springer correspondence for groups of type 𝐸₈

Uses Software

• CHEVIE

Cites Work

• Intersection cohomology complexes on a reductive group
• Green functions and character sheaves
• Erratum to: Character sheaves. V
• On the average values of the irreducible characters of finite groups of Lie type on geometric unipotent classes
• Character sheaves and almost characters of reductive groups. I, II
• CHEVIE -- A system for computing and processing generic character tables
• From conjugacy classes in the Weyl group to unipotent classes
• Unnamed Item
• Unnamed Item

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