Felder's Elliptic Quantum Group and Elliptic Hypergeometric Series on the Root System A(n)

Journal article, 2011

We introduce a generalization of elliptic 6 j-symbols, which can be interpreted as matrix elements for intertwiners between corepresentations of Felder's elliptic quantum group. For special parameter values, they can be expressed in terms of multivariable elliptic hypergeometric series related to the root system A(n). As a consequence, we obtain new biorthogonality relations for such series.