Classical Yang-Baxter equation and low-dimensional triangular Lie bialgebras

DOI10.1016/S0375-9601(98)00511-8zbMath0940.17004arXivmath/0311517OpenAlexW1998293761WikidataQ126844190 ScholiaQ126844190MaRDI QIDQ1966776

Shouchuan Zhang

Publication date: 8 March 2000

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0311517

zbMATH Keywords

triangular Lie bialgebracoboundary Lie bialgebraconstant classical Yang-Baxter equationstrong symmetric elements

Mathematics Subject Classification ID

Lie bialgebras; Lie coalgebras (17B62) Simple, semisimple, reductive (super)algebras (17B20)

Related Items

Unnamed Item ⋮ The strongly symmetric elements and solutions of Yang-Baxter equation ⋮ Classification of four-dimensional real Lie bialgebras of symplectic type and their Poisson-Lie groups ⋮ A Classification of Low Dimensional Lie Bialgebras ⋮ Unnamed Item

Cites Work

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• Witt and Virasoro algebras as Lie bialgebras
• The dual Poincaré-Birkhoff-Witt theorem
• Lie coalgebras
• A class of infinite-dimensional Lie bialgebras containing the Virasoro algebra

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