Existence of triangular Lie bialgebra structures. II

DOI10.1016/J.JPAA.2004.10.005zbMath1145.17009OpenAlexW4213021690WikidataQ115345642 ScholiaQ115345642MaRDI QIDQ1779468

Jörg Feldvoss

Publication date: 1 June 2005

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2004.10.005

zbMATH Keywords

triangular Lie bialgebra

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Lie bialgebras; Lie coalgebras (17B62)

Related Items (2)

The deformed twisted Heisenberg–Virasoro type Lie bialgebra ⋮ Manin triples and non-degenerate anti-symmetric bilinear forms on Lie superalgebras in characteristic 2

Cites Work

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• Lie coalgebras
• Existence of triangular Lie bialgebra structures
• Existence of a Lie bialgebra structure on every Lie algebra
• A class of infinite-dimensional Lie bialgebras containing the Virasoro algebra
• On Cartan subalgebras of Lie algebras
• Quantum groups
• Solutions of the classical Yang-Baxter equation for simple Lie algebras
• Existence of solutions of the classical Yang-Baxter equation for a real Lie algebra

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