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An A Bailey lemma and Rogers-Ramanujan-type identities
Authors:George E Andrews  Anne Schilling  S Ole Warnaar
Institution:Department of Mathematics, The Pennsylvania State University, University Park, Pennsylvania 16802 ; Instituut voor Theoretische Fysica, Universiteit van Amsterdam, Valckenierstraat 65, 1018 XE Amsterdam, The Netherlands ; Instituut voor Theoretische Fysica, Universiteit van Amsterdam, Valckenierstraat 65, 1018 XE Amsterdam, The Netherlands
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.

Keywords:A$_2$ Bailey lemma  Rogers--Ramanujan identities
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