Classification of quantum groups and Belavin-Drinfeld cohomologies for orthogonal and symplectic Lie algebras

Boris Kadets; Eugene Karolinsky; Iulia Pop; Alexander Stolin

doi:10.1063/1.4950895

Classification of quantum groups and Belavin-Drinfeld cohomologies for orthogonal and symplectic Lie algebras

Boris Kadets, Eugene Karolinsky, Iulia Pop, Alexander Stolin

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Abstract

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.

Original language	English
Article number	051707
Journal	Journal of Mathematical Physics
Volume	57
Issue number	5
DOIs	https://doi.org/10.1063/1.4950895
State	Published - 1 May 2016
Externally published	Yes

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Classification of quantum groups and Belavin-Drinfeld cohomologies for orthogonal and symplectic Lie algebras

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