Determinantal Construction of Orthogonal Polynomials Associated with Root Systems
Combinatorics
2010-09-28 v1 Quantum Algebra
Abstract
We consider semisimple triangular operators acting in the symmetric component of the group algebra over the weight lattice of a root system. We present a determinantal formula for the eigenbasis of such triangular operators. This determinantal formula gives rise to an explicit construction of the Macdonald polynomials and of the Heckman-Opdam generalized Jacobi polynomials.
Cite
@article{arxiv.math/0303263,
title = {Determinantal Construction of Orthogonal Polynomials Associated with Root Systems},
author = {Jan Felipe van Diejen and Luc Lapointe and Jennifer Morse},
journal= {arXiv preprint arXiv:math/0303263},
year = {2010}
}
Comments
28 pages