An elementary approach to 6j-symbols (classical, quantum, rational, trigonometric, and elliptic)
Rosengren, Hjalmar
arXiv, 0312310 / Harvested from arXiv
Text on arXiv
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.
Publié le : 2003-12-16
Classification:  Mathematics - Classical Analysis and ODEs,  Mathematical Physics,  Mathematics - Quantum Algebra,  33D45, 33D80, 82B23 
@article{0312310,
     author = {Rosengren, Hjalmar},
     title = {An elementary approach to 6j-symbols (classical, quantum, rational,
  trigonometric, and elliptic)},
     journal = {arXiv},
     volume = {2003},
     number = {0},
     year = {2003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0312310}
}

Rosengren, Hjalmar. An elementary approach to 6j-symbols (classical, quantum, rational,
  trigonometric, and elliptic). arXiv, Tome 2003 (2003) no. 0, . http://gdmltest.u-ga.fr/item/0312310/