An elementary approach to 6j-symbols (classical, quantum, rational, trigonometric, and elliptic)

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dc.creatorRosengren, Hjalmar
dc.date2003-12-16
dc.date.accessioned2026-07-07T06:34:22Z
dc.date.available2026-07-07T06:34:22Z
dc.descriptionElliptic 6j-symbols first appeared in connection with solvable models of statistical mechanics. They include many interesting limit cases, such as quantum 6j-symbols (or q-Racah polynomials) and Wilson's biorthogonal 10-W-9 functions. We give an elementary construction of elliptic 6j-symbols, which immediately implies several of their main properties. As a consequence, we obtain a new algebraic interpretation of elliptic 6j-symbols in terms of Sklyanin algebra representations.
dc.description32 pages
dc.identifierhttps://arxiv.org/abs/math/0312310
dc.identifierhttp://arxiv.org/abs/math/0312310
dc.identifierRamanujan J. 13 (2007), 133-168
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/99506
dc.subjectClassical Analysis and ODEs
dc.subjectMathematical Physics
dc.subjectQuantum Algebra
dc.subject33D45, 33D80, 82B23
dc.titleAn elementary approach to 6j-symbols (classical, quantum, rational, trigonometric, and elliptic)
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