arXiv Open Access 2015

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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Abstrak

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 $D$.

Topik & Kata Kunci

math.QA

Penulis (4)

Boris Kadets

Eugene Karolinsky

Iulia Pop

Alexander Stolin

Format Sitasi

APA MLA BibTeX

Kadets, B., Karolinsky, E., Pop, I., Stolin, A. (2015). Classification of quantum groups and Belavin--Drinfeld cohomologies for orthogonal and symplectic Lie algebras. https://arxiv.org/abs/1502.00403

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Informasi Jurnal

Tahun Terbit: 2015
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓