Representations of the Dynamical Affine Quantum GroupU q,x ( sl 2 ) = U q,λ ( sl 2 ) and Hypergeometric Functions.
AbstractThe representation theory of the Hopf algebroid U q,x ( sl 2 ) = U q,λ ( sl 2 ) is initiated and it is established that the intertwiner between the tensor products of dynamical evaluation modules is a well-poised balanced 10 W 9 symbol, confirming a conjecture of H.Konno, that the degeneration of the elliptic 12 V 11 series to 10 W 9 can be proven based on the representation theory of U q,x ( sl 2 ), viewed as the degeneration of the elliptic algebra U q,p ( sl 2 ) as p → 0.arXiv:1405.7853v2 [math.QA]