An involution based left ideal in the Hecke algebra
Representation Theory
2015-12-24 v4
Abstract
We define an imbedding of the Hecke algebra module carried by the involutions in a Weyl group W (defined by the author and Vogan) into a completion of the Hecke algebra. An analogous result is proved for any Coxeter group. A variant of the construction gives an imbedding of the biregular representation of a Hecke algebra of W in a completion of the Hecke algebra of W^2.
Cite
@article{arxiv.1507.02263,
title = {An involution based left ideal in the Hecke algebra},
author = {G. Lusztig},
journal= {arXiv preprint arXiv:1507.02263},
year = {2015}
}
Comments
17 pages