Intersection of conjugacy classes with Bruhat cells in Chevalley groups.

DOI10.2140/pjm.2004.214.245zbMath1062.20050OpenAlexW2045568819MaRDI QIDQ1880129

Nikolai Gordeev, Erich W. Ellers

Publication date: 17 September 2004

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.2004.214.245

zbMATH Keywords

Weyl groupsTits systemsChevalley groupsBruhat cellssimply-connected algebraic groupsregular conjugacy classessimple root systems

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Linear algebraic groups over arbitrary fields (20G15) Groups with a (BN)-pair; buildings (20E42)

Related Items (15)

From conjugacy classes in the Weyl group to unipotent classes ⋮ Spherical conjugacy classes and the Bruhat decomposition. ⋮ Intersection of conjugacy classes with Bruhat cells in Chevalley groups: the cases \(\text{SL}_n(K)\), \(\text{GL}_n(K)\). ⋮ Regular elements in bases of Hecke algebras ⋮ Word maps of Chevalley groups over infinite fields ⋮ Word maps on perfect algebraic groups ⋮ Big elements in irreducible linear groups. ⋮ Big and small elements in Chevalley groups. ⋮ Commutators with some special elements in Chevalley groups. ⋮ On intersections of conjugacy classes and Bruhat cells. ⋮ Baer-Suzuki theorem for the solvable radical of a finite group. ⋮ Weight elements of Chevalley groups ⋮ Geometry of word equations in simple algebraic groups over special fields ⋮ Long root tori in Chevalley groups ⋮ CHARACTERIZATION OF SOLVABLE GROUPS AND SOLVABLE RADICAL

This page was built for publication: Intersection of conjugacy classes with Bruhat cells in Chevalley groups.