An elementary approach to 6j-symbols (classical, quantum, rational, trigonometric, and elliptic)
Classical Analysis and ODEs
2007-05-23 v1 Mathematical Physics
math.MP
Quantum Algebra
Abstract
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.
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Cite
@article{arxiv.math/0312310,
title = {An elementary approach to 6j-symbols (classical, quantum, rational, trigonometric, and elliptic)},
author = {Hjalmar Rosengren},
journal= {arXiv preprint arXiv:math/0312310},
year = {2007}
}
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32 pages