Spherical conjugacy classes and Bruhat decomposition
Group Theory
2009-02-05 v2 Representation Theory
Abstract
Let G be a connected, reductive algebraic group over an algebraically closed field of characteristic zero or good and odd. We characterize the spherical conjugacy classes of G as those intersecting only Bruhat cells corresponding to involutions in the Weyl group of G.
Cite
@article{arxiv.0808.1818,
title = {Spherical conjugacy classes and Bruhat decomposition},
author = {Giovanna Carnovale},
journal= {arXiv preprint arXiv:0808.1818},
year = {2009}
}
Comments
Final version, to appear in Ann. Inst. Fourier, Grenoble