Big elements in irreducible linear groups.

DOI10.1007/s00013-014-0679-4zbMath1314.20039OpenAlexW2170859367MaRDI QIDQ465484

Nikolai Gordeev, Ulf Rehmann

Publication date: 31 October 2014

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-014-0679-4

zbMATH Keywords

conjugacy classeslinear groupsBruhat cellscomplete flags

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Representation theory for linear algebraic groups (20G05) Other matrix groups over fields (20H20) Other algebraic groups (geometric aspects) (14L40)

Related Items (1)

Word maps of Chevalley groups over infinite fields

Cites Work

• On linearly Kleiman groups
• Big and small elements in Chevalley groups.
• On \(C\)-small conjugacy classes in a reductive group.
• On intersections of conjugacy classes and Bruhat cells.
• Intersection of conjugacy classes with Bruhat cells in Chevalley groups: the cases \(\text{SL}_n(K)\), \(\text{GL}_n(K)\).
• Unipotent elements and characters of finite Chevalley groups
• Bruhat decomposition for long root tori in Chevalley groups
• Probabilistic generation of finite simple groups
• Intersection of conjugacy classes with Bruhat cells in Chevalley groups.
• Regular elements of semisimple algebraic groups
• Sums of orbits of algebraic groups. I.
• Representations induced in an invariant subgroup
• Long root tori in Chevalley groups
• From conjugacy classes in the Weyl group to unipotent classes
• Products of conjugacy classes and fixed point spaces
• On the conjectures of J. Thompson and O. Ore
• Linear algebraic groups.
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