An A₂ Bailey lemma and Rogers-Ramanujan-type identities

Andrews, George; Schilling, Anne; Warnaar, S.

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

An A$_2$ Bailey lemma and Rogers-Ramanujan-type identities
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by George E. Andrews, Anne Schilling and S. Ole Warnaar

J. Amer. Math. Soc. 12 (1999), 677-702

DOI: https://doi.org/10.1090/S0894-0347-99-00297-0

Published electronically: April 23, 1999

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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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