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

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

1998-07-22

arxiv.org/abs/math/9807125v1

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

Mathematics

Quantum Algebra

AMS-LaTeX, 25 pages

Scientific paper

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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