dorsal/arxiv
View SchemaA Higher-level Bailey Lemma
| Authors | Anne Schilling, S. Ole Warnaar |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9604015 |
| URL | https://arxiv.org/abs/q-alg/9604015 |
| DOI | 10.1142/S0217979297000253 |
| Journal | Int. J. Mod. Phys. B11 (1997) 189-195 |
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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"abstract": "We propose a generalization of Bailey\u0027s lemma, useful for proving $q$-series\nidentities. As an application, generalizations of Euler\u0027s identity, the\nRogers-Ramanujan identities, and the Andrews-Gordon identities are derived.\nThis generalized Bailey lemma also allows one to derive identities for the\nbranching functions of higher-level $A^{(1)}_1$ cosets.",
"arxiv_id": "q-alg/9604015",
"authors": [
"Anne Schilling",
"S. Ole Warnaar"
],
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"doi": "10.1142/S0217979297000253",
"journal_ref": "Int. J. Mod. Phys. B11 (1997) 189-195",
"title": "A Higher-level Bailey Lemma",
"url": "https://arxiv.org/abs/q-alg/9604015"
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