An A₂ Bailey lemma and Rogers-Ramanujan-type identities-Reference-Cited by-同舟云学术

An A₂ Bailey lemma and Rogers-Ramanujan-type identities

Published:1999-04-23 Issue:3 Volume:12 Page:677-702
ISSN:0894-0347
Container-title:Journal of the American Mathematical Society
language:en
Short-container-title:J. Amer. Math. Soc.

Author:

Andrews George,Schilling Anne,Warnaar S.

Abstract

Using new q q -functions recently introduced by Hatayama et al. and by (two of) the authors, we obtain an A 2 _2 version of the classical Bailey lemma. We apply our result, which is distinct from the A 2 _2 Bailey lemma of Milne and Lilly, to derive Rogers–Ramanujan-type identities for characters of the W 3 _3 algebra.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/jams/1999-12-03/S0894-0347-99-00297-0/S0894-0347-99-00297-0.pdf

Reference40 articles.

1. The Bailey lattice;Agarwal, A. K.;J. Indian Math. Soc. (N.S.),1987

2. An analytic generalization of the Rogers-Ramanujan identities for odd moduli;Andrews, George E.;Proc. Nat. Acad. Sci. U.S.A.,1974

3. Encyclopedia of Mathematics and its Applications, Vol. 2;Andrews, George E.,1976

4. Multiple series Rogers-Ramanujan type identities;Andrews, George E.;Pacific J. Math.,1984

5. Partitions with prescribed hook differences;Andrews, George E.;European J. Combin.,1987

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