An A$_2$ Bailey lemma and Rogers--Ramanujan-type identities
Quantum Algebra
2007-05-23 v1 Combinatorics
Abstract
Using new -functions recently introduced by Hatayama et al. and by (two of) the authors, we obtain an A_2 version of the classical Bailey lemma. We apply our result, which is distinct from the A_2 Bailey lemma of Milne and Lilly, to derive Rogers-Ramanujan-type identities for characters of the W_3 algebra.
Keywords
Cite
@article{arxiv.math/9807125,
title = {An A$_2$ Bailey lemma and Rogers--Ramanujan-type identities},
author = {George E. Andrews and Anne Schilling and S. Ole Warnaar},
journal= {arXiv preprint arXiv:math/9807125},
year = {2007}
}
Comments
AMS-LaTeX, 25 pages