Explicit quantization of dynamical r-matrices for finite dimensional semisimple Lie algebras

DOI10.1090/S0894-0347-00-00333-7zbMath0957.17011arXivmath/9912009MaRDI QIDQ4955887

Olivier Schiffmann, Travis Schedler, Pavel I. Etingof

Publication date: 22 May 2000

Published in: Journal of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9912009

zbMATH Keywords

quantum groupsemisimple Lie algebrasquantization of dynamical \(r\)-matrices

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37)

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Cites Work

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• The quantum group structure associated with non-linearly extended Virasoro algebras
• Universal solutions of quantum dynamical Yang-Baxter equations
• On classification of dynamical \(r\)-matrices
• Universal \(R\)-matrix for quantized (super)algebras
• Nonstandard solutions of the Yang-Baxter equation
• Twisted traces of intertwiners for Kac-Moody algebras and classical dynamical \(R\)-matrices corresponding to generalized Belavin-Drinfeld triples
• Quantum determinants and quasideterminants
• Exchange dynamical quantum groups
• Quantization of Lie bialgebras. I
• Quasi-Hopf twistors for elliptic quantum groups
• The Cremmer-Gervais solution of the Yang-Baxter equation
• Proof of the GGS conjecture

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