An A2 Bailey lemma and Rogers--Ramanujan-type identities
George E. Andrews, Anne Schilling, S. Ole Warnaar
Abstract
Using new q-functions recently introduced by Hatayama et al. and by (two of) the authors, we obtain an A2 version of the classical Bailey lemma. We apply our result, which is distinct from the A2 Bailey lemma of Milne and Lilly, to derive Rogers-Ramanujan-type identities for characters of the W3 algebra.
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