Adding \pm 1 to the argument of an Hall-Littlewood polynomial
Combinatorics
2007-09-14 v1
Abstract
Shifting by \pm 1 powers sums: p_i \to p_i \pm 1 induces a transformation on symmetric functions that we detail in the case of Hall-Littlewood polynomials. By iteration, this gives a description of these polynomials in terms of plane partitions, as well as some generating functions. We recover in particular an identity of Warnaar related to Rogers-Ramanujan identities.
Keywords
Cite
@article{arxiv.0709.2088,
title = {Adding \pm 1 to the argument of an Hall-Littlewood polynomial},
author = {Alain Lascoux},
journal= {arXiv preprint arXiv:0709.2088},
year = {2007}
}