On the General Classification of Lie Bialgebra Structures over Polynomials

DOI10.1080/00927872.2011.614980zbMath1317.17025arXiv1004.1531OpenAlexW2030174497MaRDI QIDQ4908955

Iulia Pop, Julia Yermolova-Magnusson

Publication date: 8 March 2013

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1004.1531

zbMATH Keywords

Lagrangian subalgebraLie bialgebra

Mathematics Subject Classification ID

Lie bialgebras; Lie coalgebras (17B62)

Cites Work

• Classification of Lie bialgebras over current algebras
• The 4th structure
• On some Lie bialgebra structures on polynomial algebras and their quantization
• New \(r\)-matrices for Lie bialgebra structures over polynomials
• Lagrangian subalgebras and quasi-trigonometric \(r\)-matrices
• On rational solutions of Yang-Baxter equations. Maximal orders in loop algebra

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