2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/99506Elliptic 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.32 pagesClassical Analysis and ODEsMathematical PhysicsQuantum Algebra33D45, 33D80, 82B23text