Regular elements in bases of Hecke algebras

DOI10.1016/j.laa.2019.04.003zbMath1468.20011OpenAlexW2936779823WikidataQ128086639 ScholiaQ128086639MaRDI QIDQ2419061

Julianne G. Rainbolt

Publication date: 29 May 2019

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2019.04.003

zbMATH Keywords

Hecke algebrasregular elementsrepresentation theory

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Linear algebraic groups over arbitrary fields (20G15) Representations of orders, lattices, algebras over commutative rings (16G30) Canonical forms, reductions, classification (15A21)

Cites Work

• Unnamed Item
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• Intersection of conjugacy classes with Bruhat cells in Chevalley groups: the cases \(\text{SL}_n(K)\), \(\text{GL}_n(K)\).
• Unipotent elements and characters of finite Chevalley groups
• Intersection of conjugacy classes with Bruhat cells in Chevalley groups.
• Cosets of centralizers in the general linear group contain regular elements
• On the Gelfand-Graev representations of a reductive group over a finite field
• Regular elements of semisimple algebraic groups
• From conjugacy classes in the Weyl group to unipotent classes
• From conjugacy classes in the Weyl group to unipotent classes, II
• From conjugacy classes in the Weyl group to unipotent classes, III
• A Characterization of Unipotent, Semisimple and Regular Elements in a Reductive Algebraic Group
• Bruhat cells which contain only regular elements

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