33 citations · 59 across the 12 of their papers we have counts for
9 papers · 1 filter
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 Lie bialgebra structures on . Relations with Brauer group
Alexander Stolin, Iulia Pop
Given an arbitrary field of characteristic 0, we study Lie bialgebra structures on , based on the description of the corresponding classical double.…
On classification of quantum groups and Belavin-Drinfeld twisted cohomologies
Alexander Stolin, Iulia Pop
The present article is a continuation of QA/1303.4046, where we discussed the classification of quantum groups with quasi-classical limit and introduced a theory of…
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…
On the General Classification of Lie Bialgebra Structures over Polynomials
Iulia Pop, Julia Yermolova-Magnusson
The present paper is a continuation of [5], where Lie bialgebra structures on g[u] were studied. These structures fall into different classes labelled by the vertices of the extend…