2 citations · 4 across the 6 of their papers we have counts for
14 papers
Irreducible highest-weight modules and equivariant quantization
E. Karolinsky, A. Stolin, V. Tarasov
We generalize the results of [KMST] concerning equivariant quantization by means of Verma modules for generic weight to the case of general . We consider the relation…
Duality for Knizhnik-Zamolodchikov and Dynamical Equations, and Hypergeometric Integrals
V. Tarasov
We review results on the Knizhnik-Zamolodchikov (KZ) and dynamical equations, both differential and difference, in the context of the duality, and their implications…
Identities between q-hypergeometric and hypergeometric integrals of different dimensions
V. Tarasov, A. Varchenko
Given complex numbers and nonnegative integers , such that , for any we define an -dimensional Barnes type q-hy…
Dynamical Yang-Baxter equations, quasi-Poisson homogeneous spaces, and quantization
Eugene Karolinsky, Kolya Muzykin, Alexander Stolin +1
This paper is a continuation of [KS]. We develop the results of [KS] principally in two directions. First, we generalize the main result of [KS], the connection between the solutio…
How to regularize singular vectors and kill the dynamical Weyl group
K. Styrkas, V. Tarasov, A. Varchenko
We study the meromorphic family of intertwining operators between Verma modules and their products with finite-dimensional ones. A regularizing operator, acting in a finite dimensi…
Hypergeometric Solutions of the qKZ Equation at Level Zero
Vitaly Tarasov
We discuss relations between different integral formulae for solutions of the quantized Knizhnik-Zamolodchikov (qKZ) equation at level zero in the case for . Smi…