Harmonic analysis on the SU(2) dynamical quantum group

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dc.creatorKoelink, Erik
dc.creatorRosengren, Hjalmar
dc.date2000-10-10
dc.date2001-05-17
dc.date.accessioned2026-07-07T04:37:56Z
dc.date.available2026-07-07T04:37:56Z
dc.descriptionDynamical quantum groups were recently introduced by Etingof and Varchenko as an algebraic framework for studying the dynamical Yang-Baxter equation, which is precisely the Yang-Baxter equation satisfied by 6j-symbols. We investigate one of the simplest examples, generalizing the standard SU(2) quantum group. The matrix elements for its corepresentations are identified with Askey-Wilson polynomials, and the Haar measure with the Askey-Wilson measure. The discrete orthogonality of the matrix elements yield the orthogonality of q-Racah polynomials (or quantum 6j-symbols). The Clebsch-Gordan coefficients for representations and corepresentations are also identified with q-Racah polynomials. This results in new algebraic proofs of the Biedenharn-Elliott identity satisfied by quantum 6j-symbols.
dc.description51 pages; minor corrections
dc.identifierhttps://arxiv.org/abs/math/0010093
dc.identifierhttp://arxiv.org/abs/math/0010093
dc.identifierActa Appl. Math. 69 (2001), 163-220
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60088
dc.subjectQuantum Algebra
dc.subjectClassical Analysis and ODEs
dc.subject20G42, 33D45, 33D80
dc.titleHarmonic analysis on the SU(2) dynamical quantum group
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