An involution based left ideal in the Hecke algebra

We show that the Hecke algebra module carried by the involutions in a Weyl group (defined by the author and Vogan) can be identified with a left ideal in the Hecke algebra. An analogous result is proved for any Coxeter group.

Bibliographic Details
Main Author: Lusztig, George
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Published: American Mathematical Society (AMS) 2018
Online Access:http://hdl.handle.net/1721.1/116018
https://orcid.org/0000-0001-9414-6892