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Classification of quantum groups and Belavin--Drinfeld cohomologies for orthogonal and symplectic Lie algebras (1502.00403v2)
Published 2 Feb 2015 in math.QA
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 $D$.
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