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Distinguished conjugacy classes and elliptic Weyl group elements

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Publication:2922915
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DOI10.1090/S1088-4165-2014-00455-2zbMath1303.20052arXiv1304.4463OpenAlexW2026086936MaRDI QIDQ2922915

George Lusztig

Publication date: 15 October 2014

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

Full work available at URL: https://arxiv.org/abs/1304.4463

zbMATH Keywords

Weyl groupsconjugacy classesreductive algebraic groupsunipotent classessemisimple classes


Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Linear algebraic groups over arbitrary fields (20G15) Representation theory for linear algebraic groups (20G05) Reflection and Coxeter groups (group-theoretic aspects) (20F55)


Related Items

Euler characteristic of analogues of a Deligne-Lusztig variety for \(\mathrm{GL}_{n}\), The based ring of the lowest two-sided cell of an affine Weyl group, On conjugacy classes in a reductive group



Cites Work

  • Unnamed Item
  • On \(C\)-small conjugacy classes in a reductive group.
  • From conjugacy classes in the Weyl group to unipotent classes
  • Elliptic elements in a Weyl group: a homogeneity property
  • From conjugacy classes in the Weyl group to unipotent classes, II
  • From conjugacy classes in the Weyl group to unipotent classes, III
  • Classes of unipotent elements in simple algebraic groups. II
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