A Higher-level Bailey Lemma
q-alg
2009-10-30 v2 High Energy Physics - Theory
Quantum Algebra
Abstract
We propose a generalization of Bailey's lemma, useful for proving -series identities. As an application, generalizations of Euler's identity, the Rogers-Ramanujan identities, and the Andrews-Gordon identities are derived. This generalized Bailey lemma also allows one to derive identities for the branching functions of higher-level cosets.
Cite
@article{arxiv.q-alg/9604015,
title = {A Higher-level Bailey Lemma},
author = {Anne Schilling and S. Ole Warnaar},
journal= {arXiv preprint arXiv:q-alg/9604015},
year = {2009}
}
Comments
Latex, 7 pages, to be published in Int. J. of Mod. Phys. B as the proceedings of the symposium''Exactly soluable models in Statistical Mechanics'', March 1996, Northeastern University, Boston; references added