20 citations · 42 across the 11 of their papers we have counts for
10 papers · 1 filter
Classification of Quantum Groups via Galois cohomology
Eugene Karolinsky, Arturo Pianzola, Alexander Stolin
The first example of a quantum group was introduced by P.~Kulish and N.~Reshetikhin. In their paper "Quantum linear problem for the sine-Gordon equation and higher representations"…
Quantum groups: from Kulish-Reshetikhin discovery to classification
Boris Kadets, Eugene Karolinsky, Iulia Pop +1
The aim of this paper is to provide an overview of the results about classification of quantum groups that were obtained in arXiv:1303.4046 [math.QA] and arXiv:1502.00403 [math.QA]…
Classification of quantum groups and Belavin--Drinfeld cohomologies for orthogonal and symplectic Lie algebras
Boris Kadets, Eugene Karolinsky, Iulia Pop +1
In this paper we continue to study Belavin-Drinfeld cohomology introduced in arXiv:1303.4046 [math.QA] and related to the classification of quantum groups whose quasi-classical lim…
Classification of quantum groups and Belavin-Drinfeld cohomologies
Boris Kadets, Eugene Karolinsky, Alexander Stolin +1
In the present article we discuss the classification of quantum groups whose quasi-classical limit is a given simple complex Lie algebra . This problem reduces to the…
Equivariant quantization of Poisson homogeneous spaces and Kostant's problem
E. Karolinsky, A. Stolin, V. Tarasov
Let be a finite dimensional split semisimple Lie algebra and a weight of . Let be the algebra of quantized regular functions on the connected sim…
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…