Bernstein-Szego Polynomials Associated with Root Systems
Combinatorics
2010-09-27 v1
Abstract
We introduce multivariate generalizations of the Bernstein-Szego polynomials, which are associated to the root systems of the complex simple Lie algebras. The multivariate polynomials in question generalize Macdonald's Hall-Littlewood polynomials associated with root systems. For the root system of type A1 (corresponding to the Lie algebra SL (2;C)) the classic Bernstein-Szego polynomials are recovered.
Keywords
Cite
@article{arxiv.0704.3650,
title = {Bernstein-Szego Polynomials Associated with Root Systems},
author = {J. F. van Diejen and A. C. de la Maza and S. Ryom-Hansen},
journal= {arXiv preprint arXiv:0704.3650},
year = {2010}
}