A parametrization of unipotent representations
Representation Theory
2022-09-09 v4
Abstract
We define a map from the unipotent representations of a split semisimple group over a finite field to (essentially) the set of pairs of left cells representations of the Weyl group in the same two-sided cell. We use this map to parametrize the unipotent representations.
Cite
@article{arxiv.2111.08586,
title = {A parametrization of unipotent representations},
author = {G. Lusztig},
journal= {arXiv preprint arXiv:2111.08586},
year = {2022}
}
Comments
44 pages. This paper superseds arxiv:2011.05362 which is withdrawn. Some corrections are made