On the trace of Coxeter elements
Representation Theory
2024-11-28 v1
Abstract
Let W be a Weyl group and let w be a Coxeter elememt of minimal length of W. In the early 1970's I.G.Macdonald stated that the trace of w on an irreducible representation of W is 0,1 or -1. In this paper we give a proof of this statement and of an Iwahori-Hecke algebra version of it.
Keywords
Cite
@article{arxiv.2411.18495,
title = {On the trace of Coxeter elements},
author = {G. Lusztig},
journal= {arXiv preprint arXiv:2411.18495},
year = {2024}
}
Comments
10 pages