New \(r\)-matrices for Lie bialgebra structures over polynomials

DOI10.1007/s11005-010-0408-2zbMath1245.17011arXiv0910.4286OpenAlexW1990548670MaRDI QIDQ993443

Julia Yermolova-Magnusson, Iulia Pop

Publication date: 20 September 2010

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

Full work available at URL: https://arxiv.org/abs/0910.4286

zbMATH Keywords

Lie bialgebrar-matrix

Mathematics Subject Classification ID

Lie bialgebras; Lie coalgebras (17B62)

Related Items (2)

Classification of Lie bialgebras over current algebras ⋮ On the General Classification of Lie Bialgebra Structures over Polynomials

Cites Work

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• Formality theorem for Lie bialgebras and quantization of twists and coboundary \(r\)-matrices
• The 4th structure
• Quantum R-matrices and factorization problems
• On some Lie bialgebra structures on polynomial algebras and their quantization
• Lagrangian subalgebras and quasi-trigonometric \(r\)-matrices
• Classical dynamical \(r\)-matrices, Poisson homogeneous spaces, and Lagrangian subalgebras
• Some remarks on Lie bialgebra structures on simple complex Lie algebras

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