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An A$_2$ Bailey lemma and Rogers--Ramanujan-type identities

George E. Andrews·Anne Schilling·S. Ole Warnaar
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Abstract

Using new $q$-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.

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George E. Andrews, Anne Schilling, S. Ole Warnaar. 1998-07-22. An A$_2$ Bailey lemma and Rogers--Ramanujan-type identities. https://arxiv.org/abs/math/9807125

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