A Higher-Level Bailey Lemma: Proof and Application
| dc.creator | Schilling, Anne | |
| dc.creator | Warnaar, S. Ole | |
| dc.date | 1996-07-12 | |
| dc.date | 1997-02-07 | |
| dc.date.accessioned | 2026-07-07T09:08:40Z | |
| dc.date.available | 2026-07-07T09:08:40Z | |
| dc.description | In a recent letter, new representations were proposed for the pair of sequences ($γ,δ$), as defined formally by Bailey in his famous lemma. Here we extend and prove this result, providing pairs ($γ,δ$) labelled by the Lie algebra A$_{N-1}$, two non-negative integers $\ell$ and $k$ and a partition $λ$, whose parts do not exceed $N-1$. Our results give rise to what we call a ``higher-level'' Bailey lemma. As an application it is shown how this lemma can be applied to yield general $q$-series identities, which generalize some well-known results of Andrews and Bressoud. | |
| dc.description | Latex2e, 21 pages, 1 Postscript figure. Several typos have been corrected including a serious one, a figure has been added and the discussion has been improved. Version to appear in the Ramanujan Journal | |
| dc.identifier | https://arxiv.org/abs/q-alg/9607014 | |
| dc.identifier | http://arxiv.org/abs/q-alg/9607014 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/150801 | |
| dc.subject | Quantum Algebra | |
| dc.title | A Higher-Level Bailey Lemma: Proof and Application | |
| dc.type | text |