The character values of Iwahori--Hecke algebras on Coxeter basis elements
Representation Theory
2024-12-03 v1
Abstract
These are unpublished notes from about 1992-1993 which, retrospectively, may be regarded as a complement to Lusztig's recent paper on the trace of Coxeter elements. Our notes include explicit tables for those traces. The proofs rely on a connection with Lusztig's work on Coxeter orbits and eigenspaces of Frobenius, which may be of independent interest.
Cite
@article{arxiv.2412.00540,
title = {The character values of Iwahori--Hecke algebras on Coxeter basis elements},
author = {Meinolf Geck},
journal= {arXiv preprint arXiv:2412.00540},
year = {2024}
}
Comments
12 pages