Reviewed by Shuzhou Wang References

EllipticU(2) quantum group and elliptic hypergeometric series. (English summary) Comm. Math. Phys. 245 (2004), no. 3, 519–537.1432-0916 Summary: “We investigate an elliptic quantum group introduced by Felder and Varchenko which is constructed from the R-matrix of the Andrews-Baxter-Forrester model and contains both spectral and dynamical parameters. We explicitly compute the matrix elements of certain corepresen-tations and obtain orthogonality relations for these elements. Using dynamical representations these orthogonality relations give discrete bi-orthogonality relations for terminating very-well-poised balanced elliptic hypergeometric series, previously obtained by Frenkel and Turaev and by Spiridonov and Zhedanov in different contexts.