A Conjecture about Raising Operators for Macdonald Polynomials
Quantum Algebra
2009-11-11 v2 Combinatorics
Abstract
A multivariable hypergeometric-type formula for raising operators of the Macdonald polynomials is conjectured. It is proved that this agrees with Jing and Jozefiak's expression for the two-row Macdonald polynomials, and also with Lassalle and Schlosser's formula for partitions with length three.
Cite
@article{arxiv.math/0503727,
title = {A Conjecture about Raising Operators for Macdonald Polynomials},
author = {Jun'ichi Shiraishi},
journal= {arXiv preprint arXiv:math/0503727},
year = {2009}
}
Comments
13 pages