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
V.N. Karazin Kharkiv National University
Eugene Karolinsky
V.N. Karazin 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- 051707Subject Categories (SSIF 2011)
Mathematics
DOI
10.1063/1.4950895