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A Higher-level Bailey Lemma

Anne Schilling·S. Ole Warnaar
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Abstract

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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Anne Schilling, S. Ole Warnaar. 1996-05-08. A Higher-level Bailey Lemma. https://doi.org/10.1142/s0217979297000253

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