A new basis for the representation ring of a Weyl group, II
Representation Theory
2019-07-09 v4
Abstract
In a previous paper I have defined a new basis for the representation ring of a Weyl group. In this paper we show that the new basis is related to the standard basis by an upper triangular unipotent matrix. We also give a new parametrization of representations in a fixed family by certain pairs of subgroups of a finite group attached to the family. We outline an extension to the case of unipotent representations of a finite Chevalley group.
Keywords
Cite
@article{arxiv.1808.06896,
title = {A new basis for the representation ring of a Weyl group, II},
author = {G. Lusztig},
journal= {arXiv preprint arXiv:1808.06896},
year = {2019}
}
Comments
19 pages. This paper is now superseeded by the paper: The Grothendieck group of unipotent representations: a new basis, arxiv:1907.01401