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

@article{Kadets2016ClassificationOQ,
  title={Classification of quantum groups and Belavin–Drinfeld cohomologies for orthogonal and symplectic Lie algebras},
  author={Boris Kadets and E. Karolinsky and I. Pop and A. Stolin},
  journal={Journal of Mathematical Physics},
  year={2016},
  volume={57},
  pages={051707}
}
  • Boris Kadets, E. Karolinsky, +1 author A. Stolin
  • Published 2016
  • Mathematics
  • Journal of Mathematical Physics
  • 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. 
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