Classification of quantum groups and Belavin-Drinfeld cohomologies for orthogonal and symplectic Lie algebras
Abstract
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 limit is a given simple complex Lie algebra. Here we compute Belavin-Drinfeld cohomology for all non-skewsymmetric $r$-matrices from the Belavin-Drinfeld list for simple Lie algebras of type $B$, $C$, and $D$.
- Publication:
-
Journal of Mathematical Physics
- Pub Date:
- May 2016
- DOI:
- 10.1063/1.4950895
- arXiv:
- arXiv:1502.00403
- Bibcode:
- 2016JMP....57e1707K
- Keywords:
-
- Mathematics - Quantum Algebra;
- 17B37;
- 17B62
- E-Print:
- 17 pages