Hecke modules based on involutions in extended Weyl groups
Representation Theory
2017-10-11 v1
Abstract
Let X be the group of weights of a maximal torus of a simply connected semisimple group over C and let W be the Weyl group. The semidirect product W(Q\otimes X/X) is called the extended Weyl group. There is a natural C(v)-algebra H called the extended Hecke algebra with basis indexed by the extended Weyl group which contains the usual Hecke algebra as a subalgebra. We construct an H-module with basis indexed by the involutions in the extended Weyl group. This generalizes a construction of the author and D.Vogan.
Cite
@article{arxiv.1710.03670,
title = {Hecke modules based on involutions in extended Weyl groups},
author = {G. Lusztig},
journal= {arXiv preprint arXiv:1710.03670},
year = {2017}
}
Comments
38 pages