caa a22 4500 463178246 CHVBK 20180406164831.0 cr unu---uuuuu 170326e20070601xx s 000 0 eng 10.1007/s11139-006-0245-1 doi (NATIONALLICENCE)springer-10.1007/s11139-006-0245-1 Rosengren Hjalmar Department of Mathematics Chalmers, University of Technology and Göteborg University, SE-412 96, Göteborg, Sweden aut An elementary approach to 6j -symbols (classical, quantum, rational, trigonometric, and elliptic) [Elektronische Daten] [Hjalmar Rosengren] Elliptic 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. Springer Science + Business Media, LLC, 2006 Elliptic 6 j -symbol nationallicence Elliptic hypergeometric series nationallicence Biorthogonal rational function nationallicence Sklyanin algebra nationallicence Eight-vertex model nationallicence The Ramanujan Journal Kluwer Academic Publishers 13/1-3(2007-06-01), 131-166 1382-4090 13:1-3<131 2007 13 11139 https://doi.org/10.1007/s11139-006-0245-1 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11139-006-0245-1 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Rosengren Hjalmar Department of Mathematics Chalmers, University of Technology and Göteborg University, SE-412 96, Göteborg, Sweden aut NATIONALLICENCE 773 0- The Ramanujan Journal Kluwer Academic Publishers 13/1-3(2007-06-01), 131-166 1382-4090 13:1-3<131 2007 13 11139 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer