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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…
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 quasi-Poisson homogeneous spaces of quasi-Poisson Lie groups
Eugene Karolinsky, Kolya Muzykin
We provide a quasi-Poisson version of the Drinfeld's correspondence between Poisson homogeneous spaces and Lagrangian subalgebras.
Classical dynamical r-matrices, Poisson homogeneous spaces, and Lagrangian subalgebras
Eugene Karolinsky, Alexander Stolin
Jiang-Hua Lu showed that any dynamical r-matrix for the pair naturally induces a Poisson homogeneous structure on . She also proved that if is complex simple, …
A classification of Poisson homogeneous spaces of complex reductive Poisson-Lie groups
Eugene Karolinsky
Let be a complex reductive connected algebraic group equipped with the Sklyanin bracket. A classification of Poisson homogeneous -spaces with connected isotropy subgroups is…