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An A$_2$ Bailey lemma and Rogers--Ramanujan-type identities
Abstract
Using new $q$-functions recently introduced by Hatayama et al. and by 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.Links
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