Open problems on Iwahori-Hecke algebras
Representation Theory
2020-06-16 v1
Abstract
We state four open problems on Iwahori-Hecke algebras. The first one states a relation between some algebras appearing in Solleveld's work and some explicit Hecke algebras appearing in the study of unipotent representations. The second one is a boundedness conjecture. The third one is a conjecture of well-definedness of an asymptotic Hecke algebra. The fourth one concerns positive conjugacy classes in a Weyl group.
Cite
@article{arxiv.2006.08535,
title = {Open problems on Iwahori-Hecke algebras},
author = {G. Lusztig},
journal= {arXiv preprint arXiv:2006.08535},
year = {2020}
}
Comments
3 pages; to appear in the European Math.Soc. Newsletter