Representatives of elliptic Weyl group elements in algebraic groups
Group Theory
2011-09-27 v1
Abstract
An element w of a Weyl group W is called elliptic if it has no eigenvalue 1 in the standard reflection representation. We determine the order of any representative g in a semisimple algebraic group G of an elliptic element w in the corresponding Weyl group W. In particular if w has order d and G is simple of type different from C_n or F_4, then g has order d in G.
Cite
@article{arxiv.1109.5487,
title = {Representatives of elliptic Weyl group elements in algebraic groups},
author = {Matthew C. B. Zaremsky},
journal= {arXiv preprint arXiv:1109.5487},
year = {2011}
}
Comments
20 pages