Hecke algebras and involutions in Weyl groups
Representation Theory
2011-11-07 v3
Abstract
For any two involutions y,w in a Weyl group (y\le w), let P_{y,w} be the polynomial defined in [KL]. In this paper we define a new polynomial P^\sigma_{y,w} whose i-th coefficient is a_i-b_i where the i-th coefficient of P_{y,w} is a_i+b_i (a_i,b_i are natural numbers). These new polynomials are of interest for the theory of unitary representations of complex reductive groups. We present an algorithm for computing these polynomials.
Keywords
Cite
@article{arxiv.1109.4606,
title = {Hecke algebras and involutions in Weyl groups},
author = {George Lusztig and David A. Vogan},
journal= {arXiv preprint arXiv:1109.4606},
year = {2011}
}
Comments
25 pages