Intersection of conjugacy classes with Bruhat cells in Chevalley groups: the cases \(\text{SL}_n(K)\), \(\text{GL}_n(K)\).

DOI10.1016/j.jpaa.2006.07.002zbMath1128.20034OpenAlexW2072821155MaRDI QIDQ872178

Nikolai Gordeev, Erich W. Ellers

Publication date: 27 March 2007

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2006.07.002

zbMATH Keywords

partitionsconjugacy classestableauxtreesBruhat cells

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Linear algebraic groups over arbitrary fields (20G15)

Related Items

Spherical conjugacy classes and the Bruhat decomposition., Regular elements in bases of Hecke algebras, Big elements in irreducible linear groups., Big and small elements in Chevalley groups., On intersections of conjugacy classes and Bruhat cells., Long root tori in Chevalley groups

Cites Work

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• Unipotent elements and characters of finite Chevalley groups
• Bruhat decomposition for long root tori in Chevalley groups
• Intersection of conjugacy classes with Bruhat cells in Chevalley groups.
• Regular elements of semisimple algebraic groups
• Linear algebraic groups.