On C-small conjugacy classes in a reductive group
Representation Theory
2010-12-13 v2
Abstract
Let G be an almost simple reductive group with Weyl group W. Let B be a Borel subgroup of G. Let C be an elliptic conjugacy class in W and let w be an element of minimal length of C. We investigate the existence of a semisimple class of G whose intersection with BwB has dimension dim(B). We show that in good characteristic such a semisimple class exists almost always.
Cite
@article{arxiv.1005.4313,
title = {On C-small conjugacy classes in a reductive group},
author = {G. Lusztig},
journal= {arXiv preprint arXiv:1005.4313},
year = {2010}
}
Comments
19 pages