Conjugacy classes of non-translations in affine Weyl groups and applications to Hecke algebras

DOI10.1090/tran/6342zbMath1333.20043arXiv1306.5255OpenAlexW2171036060MaRDI QIDQ3449001

Sean Rostami

Publication date: 3 November 2015

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

Full work available at URL: https://arxiv.org/abs/1306.5255

zbMATH Keywords

affine Weyl groupsCoxeter groupsIwahori-Hecke algebrasIwahori-Weyl groups

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Representations of Lie and linear algebraic groups over local fields (22E50)

Related Items (1)

The Bernstein Presentation for general connected reductive groups

Cites Work

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• Twisted loop groups and their affine flag varieties. With an appendix by T. Haines and M. Rapoport.
• On the irreducible characters of Hecke algebras
• Coxeter matroids. With illustrations by Anna Borovik
• Reductive groups over a local field
• Minimal length elements of extended affine Weyl groups
• Affine Hecke Algebras and Their Graded Version
• The Satake isomorphism for special maximal parahoric Hecke algebras
• The combinatorics of Bernstein functions
• Bad upward elements in infinite Coxeter groups
• The Bernstein Presentation for general connected reductive groups

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