Big and small elements in Chevalley groups.

DOI10.1007/s10958-011-0645-7zbMath1306.20049OpenAlexW2105645243MaRDI QIDQ476681

Nikolai Gordeev, Erich W. Ellers

Publication date: 2 December 2014

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-011-0645-7

zbMATH Keywords

conjugacy classesreductive algebraic groupsChevalley groupsBruhat cells

Mathematics Subject Classification ID

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

Related Items

Big elements in irreducible linear groups., Long root tori in Chevalley groups

Cites Work

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• On intersections of conjugacy classes and Bruhat cells.
• Intersection of conjugacy classes with Bruhat cells in Chevalley groups: the cases \(\text{SL}_n(K)\), \(\text{GL}_n(K)\).
• Classes unipotentes et sous-groupes de Borel
• 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
• From conjugacy classes in the Weyl group to unipotent classes
• Linear algebraic groups.