An A₂ Bailey lemma and Rogers-Ramanujan-type identities

Andrews, George¹ ; Schilling, Anne² ; Warnaar, S.

¹ Department of Mathematics, The Pennsylvania State University, University Park, Pennsylvania 16802
² Instituut voor Theoretische Fysica, Universiteit van Amsterdam, Valckenierstraat 65, 1018 XE Amsterdam, The Netherlands

Journal of the American Mathematical Society, Tome 12 (1999) no. 3, pp. 677-702

Résumé

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.

Détail

DOI : 10.1090/S0894-0347-99-00297-0

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