Intersection of conjugacy classes with Bruhat cells in Chevalley groups

Erich W. Ellers and Nikolai Gordeev

Vol. 214 (2004), No. 2, 245–261

DOI: 10.2140/pjm.2004.214.245

Abstract

Let G = G(K) where G is a simple and simply-connected algebraic group that is defined and quasi-split over a field K. We investigate properties of intersections of Bruhat cells BẇB of G with conjugacy classes C of G, in particular, we consider the question, when is BẇB ∩ C≠∅.

Milestones

Received: 12 August 2002

Revised: 16 June 2003

Published: 1 April 2004