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

DOI10.1063/1.4950895zbMath1338.81238arXiv1502.00403OpenAlexW2246556225WikidataQ115333178 ScholiaQ115333178MaRDI QIDQ2814204

Boris Kadets, Eugene Karolinsky, Iulia Pop, Alexander Stolin

Publication date: 20 June 2016

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1502.00403

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Cohomology of Lie (super)algebras (17B56)

Related Items (3)

Quantum groups: from the Kulish-Reshetikhin discovery to classification ⋮ Classification of quantum groups via Galois cohomology ⋮ Belavin-Drinfeld solutions of the Yang-Baxter equation. Galois cohomology considerations

Cites Work

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• Classification of quantum groups and Lie bialgebra structures on \(sl(n, \mathbb{F})\). Relations with Brauer group
• Classification of quantum groups and Belavin-Drinfeld cohomologies
• A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
• Quantization of Lie bialgebras. II, III
• Quantization of Lie bialgebras. I
• Some remarks on Lie bialgebra structures on simple complex Lie algebras
• Explicit quantization of dynamical r-matrices for finite dimensional semisimple Lie algebras
• Twisted traces of quantum intertwiners and quantum dynamical \(R\)-matrices corresponding to generalized Belavin-Drinfeld triples.

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