On certain varieties attached to a Weyl group element

zbMath1288.20059arXiv1012.2074MaRDI QIDQ4914690

George Lusztig

Publication date: 15 April 2013

Full work available at URL: https://arxiv.org/abs/1012.2074

zbMATH Keywords

Weyl groupsconjugacy classesorbitsreductive algebraic groupscharacter sheavesactionsBorel subgroupsisotropy groupsaffine varieties

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Representation theory for linear algebraic groups (20G05) Classical groups (algebro-geometric aspects) (14L35)

Related Items (9)

A generalization of Steinberg’s cross section ⋮ Unipotent representations as a categorical centre ⋮ Euler characteristic of analogues of a Deligne-Lusztig variety for \(\mathrm{GL}_{n}\) ⋮ From conjugacy classes in the Weyl group to unipotent classes, III ⋮ Minimal length elements of finite Coxeter groups. ⋮ Conjugacy classes in Weyl groups and q-W algebras ⋮ Minimal length elements of Coxeter groups. ⋮ The étale cohomology of the general linear group over a finite field and the Dickson algebra ⋮ The development version of the \texttt{CHEVIE} package of \texttt{GAP3}.

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