Positivity for certain Weyl group representations
Representation Theory
2026-01-19 v2
Abstract
Let W be a Weyl group. We can define the notion of positivity of a W-module in terms of the corresponding module over the asymptotic Iwahori-Hecke algebra. We state a conjecture which says that certain explicit W-modules are positive and we prove it in the case where W is of classical type.
Cite
@article{arxiv.2510.21499,
title = {Positivity for certain Weyl group representations},
author = {G. Lusztig},
journal= {arXiv preprint arXiv:2510.21499},
year = {2026}
}
Comments
19 pages