4 papers · 1 filter
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…
A Quantum Analogue of the Bernstein Functor
S. Sinel'shchikov, A. Stolin, L. Vaksman
We consider Knapp-Vogan Hecke algebras in the quantum group setting. This allows us to produce a quantum analogue of the Bernstein functor as a first step towards the cohomological…
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…
On construction of universal twist element from -matrix
A. A. Stolin, P. P. Kulish, E. V. Damaskinsky
A method to construct the universal twist element using the constant quasiclassical unitary matrix solution of the Yang - Baxter equation is proposed. The method is applied to few…