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arxiv: 1502.00403 · v2 · pith:RBXGVDYNnew · submitted 2015-02-02 · 🧮 math.QA

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

classification 🧮 math.QA
keywords belavin-drinfeldalgebrasclassificationcohomologygroupsquantumsimplealgebra
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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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