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

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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.
AMS-LaTeX, 25 pages

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Quantum Algebra, Combinatorics, 05A30, 05A19 (Primary) 33D90, 33D15, 11P82 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/77195

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9807125
 http://arxiv.org/abs/math/9807125
 J. Amer. Math. Soc. 12 (1999) 677-702

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arXiv