Felder's elliptic quantum group and elliptic hypergeometric series on the root system A_n

Details Felder's elliptic quantum group and elliptic hypergeometric series on the root system A_n Felder's elliptic quantum group and elliptic hypergeometric series on the root system A_n

2010-03-19

arxiv.org/abs/1003.3730v1

Int. Math. Res. Not. 2011 (2011), 2861-2920

Mathematics

Quantum Algebra

49 pages

Scientific paper

We introduce a generalization of elliptic 6j-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.

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