A new basis for the representation ring of a Weyl group
Representation Theory
2019-06-25 v4
Abstract
Let W be a Weyl group. We define a new basis for the Grothendieck group of representations of W. This basis contains on the one hand the special representations of W and on the other hand the representations carried by the left cells of W. We show that the representations in the new basis have a certain bipositivity property.
Keywords
Cite
@article{arxiv.1805.03770,
title = {A new basis for the representation ring of a Weyl group},
author = {G. Lusztig},
journal= {arXiv preprint arXiv:1805.03770},
year = {2019}
}
Comments
26 pages