Classification of quantum groups and Belavin-Drinfeld cohomologies for orthogonal and symplectic Lie algebras
Journal article, 2016

In this paper we continue to study Belavin-Drinfeld cohomology introduced in Kadets et al., Commun. Math. Phys. 344(1), 1-24 (2016) and related to the classification of quantum groups whose quasi-classical limit is a given simple complex Lie algebra g. Here we compute Belavin-Drinfeld cohomology for all non-skewsymmetric r-matrices on the Belavin-Drinfeld list for simple Lie algebras of type B, C, and D.

Author

B. Kadets

Kharkiv National University

Eugene Karolinsky

Kharkiv National University

Iulia Pop

University of Gothenburg

Chalmers, Mathematical Sciences, Mathematics

Alexander Stolin

University of Gothenburg

Chalmers, Mathematical Sciences, Mathematics

Journal of Mathematical Physics

0022-2488 (ISSN) 1089-7658 (eISSN)

Vol. 57 5 Art. no. 051707-

Subject Categories

Mathematics

DOI

10.1063/1.4950895

More information

Created

10/7/2017