A_2 Macdonald polynomials: a separation of variables
q-alg
2008-02-03 v1 Quantum Algebra
Abstract
In this paper we construct a discrete linear operator which transforms Macdonald polynomials into the product of two basic hypergeometric series with known arguments. The action of the operator on power sums in two variables can be reduced to a generalization of one particular case of the Bailey's summation formula for a very-well-poised series. We also propose the conjecture for a transformation of series with different arguments.
Cite
@article{arxiv.q-alg/9512003,
title = {A_2 Macdonald polynomials: a separation of variables},
author = {V. V. Mangazeev},
journal= {arXiv preprint arXiv:q-alg/9512003},
year = {2008}
}
Comments
17 pages, LaTeX, no figures