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q-alg1997
Solutions of the qKZB Equation in Tensor Products of finite dimensional modules over the elliptic quantum group
E. Mukhin, A. Varchenko
We consider the quantized Knizhnik-Zamolodchikov-Bernard difference equation (qKZB) with step and values in a tensor product of finite dimensional evaluation modules over the e…
q-alg1997
On algebraic equations satisfied by hypergeometric solutions of the qKZ equation
E. Mukhin, A. Varchenko
We consider the quantized Knizhnik-Zamolodchikov equation (qKZ), defined in terms of rational R-matrices. The properties of the equation change when the step of the equatio…
q-alg1997
Quantization of the space of conformal blocks
E. Mukhin, A. Varchenko
We consider the discrete Knizhnik-Zamolodchikov connection (qKZ) associated to , defined in terms of rational R-matrices. We prove that under certain resonance conditions, t…