A Higher-level Bailey Lemma
Anne Schilling, S. Ole Warnaar
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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