Lie bialgebras arising from alternative and Jordan bialgebras

DOI10.1007/s11202-010-0022-7zbMath1219.17018OpenAlexW2026633226MaRDI QIDQ606015

M. E. Goncharov

Publication date: 15 November 2010

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11202-010-0022-7

zbMATH Keywords

classical Yang-Baxter equationCayley-Dickson algebraalternative bialgebraJordan bialgebranonassociative coalgebra

Mathematics Subject Classification ID

Lie bialgebras; Lie coalgebras (17B62) Jordan structures associated with other structures (17C50) Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60) Alternative rings (17D05)

Related Items (1)

Structures of Malcev Bialgebras on a Simple Non-Lie Malcev Algebra

Cites Work

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• Classical Yang-Baxter equation and the \(A_\infty\)-constraint
• Jordan bialgebras of symmetric elements and Lie bialgebras
• Malcev's theorem for alternative algebras
• Associative triples and the Yang-Baxter equation.
• Coalgebras and Bialgebras in Combinatorics
• Nonassociative coalgebras
• On the associative analog of Lie bialgebras

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