Topological Manin pairs and \((n,s)\)-type series

DOI10.1007/s11005-023-01678-8zbMath1528.17017arXiv2211.08807MaRDI QIDQ6113197

Alexander Stolin, Raschid Abedin, Stepan Maximov

Publication date: 10 July 2023

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

Full work available at URL: https://arxiv.org/abs/2211.08807

zbMATH Keywords

Yang-Baxter equationsLie bialgebrasManin pairsquasi-Lie bialgebrasr-matricesLie algebra splittings

Mathematics Subject Classification ID

Applications of Lie algebras and superalgebras to integrable systems (17B80) Lie bialgebras; Lie coalgebras (17B62) Yang-Baxter equations and Rota-Baxter operators (17B38)

Cites Work

• Unnamed Item
• Classification of Lie bialgebras over current algebras
• Integrable quantum spin chains, non-skew symmetric \(r\)-matrices and quasigraded Lie algebras
• On rational solutions of Yang-Baxter equations. Maximal orders in loop algebra
• Manin pairs and moment maps.
• Classification of classical twists of the standard Lie bialgebra structure on a loop algebra
• Introduction to Classical Integrable Systems
• Infinite-dimensional Lie algebras, classical r-matrices, and Lax operators: Two approaches

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