A Higher-level Bailey Lemma

Details A Higher-level Bailey Lemma A Higher-level Bailey Lemma

1996-04-25

arxiv.org/abs/q-alg/9604015v2

Int. J. Mod. Phys. B11 (1997) 189-195

Physics

High Energy Physics

High Energy Physics - Theory

Latex, 7 pages, to be published in Int. J. of Mod. Phys. B as the proceedings of the symposium''Exactly soluable models in Sta

Scientific paper

10.1142/S0217979297000253

We propose a generalization of Bailey's lemma, useful for proving $q$-series
identities. As an application, generalizations of Euler's identity, the
Rogers-Ramanujan identities, and the Andrews-Gordon identities are derived.
This generalized Bailey lemma also allows one to derive identities for the
branching functions of higher-level $A^{(1)}_1$ cosets.

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