Non-Symmetric Hall-Littlewood Polynomials
Combinatorics
2007-05-23 v1
Abstract
Using the action of the Yang-Baxter elements of the Hecke algebra on polynomials, we define two bases of polynomials in n variables. The Hall-Littlewood polynomials are a subfamily of one of them. For q=0, these bases specialize into the two families of classical Key polynomials (i.e. Demazure characters for type A). We give a scalar product for which the two bases are adjoint of each other.
Cite
@article{arxiv.math/0609512,
title = {Non-Symmetric Hall-Littlewood Polynomials},
author = {Francois Descouens and Alain Lascoux},
journal= {arXiv preprint arXiv:math/0609512},
year = {2007}
}
Comments
Dedicated to Adriano Garsia