Conjugate Bailey pairs

Simple item page
dc.creatorSchilling, Anne
dc.creatorWarnaar, S. Ole
dc.date1999-06-14
dc.date.accessioned2026-07-07T05:29:30Z
dc.date.available2026-07-07T05:29:30Z
dc.descriptionIn this paper it is shown that the one-dimensional configuration sums of the solvable lattice models of Andrews, Baxter and Forrester and the string functions associated with admissible representations of the affine Lie algebra A$_1^{(1)}$ as introduced by Kac and Wakimoto can be exploited to yield a very general class of conjugate Bailey pairs. Using the recently established fermionic or constant-sign expressions for the one-dimensional configuration sums, our result is employed to derive fermionic expressions for fractional-level string functions, parafermion characters and A$_1^{(1)}$ branching functions. In addition, $q$-series identities are obtained whose Lie algebraic and/or combinatorial interpretation is still lacking.
dc.description29 pages, AMS-LaTeX
dc.identifierhttps://arxiv.org/abs/math/9906092
dc.identifierhttp://arxiv.org/abs/math/9906092
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/78662
dc.subjectQuantum Algebra
dc.subjectCombinatorics
dc.subjectPrimary 05A30, 05A19; Secondary 82B23, 17B67, 33D90
dc.titleConjugate Bailey pairs
dc.typetext

Files

Collections

arXiv