Recurrence formulas for Macdonald polynomials of type A
Combinatorics
2010-09-24 v2 Quantum Algebra
Abstract
We consider products of two Macdonald polynomials of type A, indexed by dominant weights which are respectively a multiple of the first fundamental weight and a weight having zero component on the k-th fundamental weight. We give the explicit decomposition of any Macdonald polynomial of type A in terms of this basis.
Cite
@article{arxiv.0902.2099,
title = {Recurrence formulas for Macdonald polynomials of type A},
author = {Michel Lassalle and Michael J. Schlosser},
journal= {arXiv preprint arXiv:0902.2099},
year = {2010}
}
Comments
18 pages, LaTeX, revised version, to appear in Journal of Algebraic Combinatorics