On intersections of conjugacy classes and Bruhat cells.

DOI10.1007/s00031-010-9084-7zbMath1207.20042arXiv0906.2254OpenAlexW2007065696MaRDI QIDQ707904

Simon Kai-Ming To, Jiang-Hua Lu, Kei Yuen Chan

Publication date: 8 October 2010

Published in: Transformation Groups (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0906.2254

zbMATH Keywords

Weyl groupsconjugacy classesalgebraic groupsBorel subgroupsBruhat decompositions

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 (9)

A Katsylo theorem for sheets of spherical conjugacy classes ⋮ Regular elements in bases of Hecke algebras ⋮ On Lusztig's map for spherical unipotent conjugacy classes in disconnected groups ⋮ Big elements in irreducible linear groups. ⋮ On a dimension formula for spherical twisted conjugacy classes in semisimple algebraic groups. ⋮ Big and small elements in Chevalley groups. ⋮ On the \(T\)-leaves of some Poisson structures related to products of flag varieties ⋮ On the \(T\)-leaves and the ranks of a Poisson structure on twisted conjugacy classes ⋮ Long root tori in Chevalley groups

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