Existence of triangular Lie bialgebra structures

DOI10.1016/S0022-4049(97)00128-XzbMath0933.17008arXivmath-ph/0409046OpenAlexW2090639242WikidataQ115340088 ScholiaQ115340088MaRDI QIDQ1295674

Jörg Feldvoss

Publication date: 19 August 1999

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

Full work available at URL: https://arxiv.org/abs/math-ph/0409046

zbMATH Keywords

classical Yang-Baxter equationtriangular Lie bialgebra

Mathematics Subject Classification ID

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

Related Items (6)

A new approach to Leibniz bialgebras ⋮ The deformed twisted Heisenberg–Virasoro type Lie bialgebra ⋮ Existence of triangular Lie bialgebra structures. II ⋮ Existence of solutions of the classical Yang-Baxter equation for a real Lie algebra ⋮ A Classification of Low Dimensional Lie Bialgebras ⋮ Manin triples and non-degenerate anti-symmetric bilinear forms on Lie superalgebras in characteristic 2

Cites Work

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• A class of infinite-dimensional Lie bialgebras containing the Virasoro algebra
• Lie bialgebra quantizations of the oscillator algebra and their universalR-matrices
• Quantum groups
• Solutions of the classical Yang-Baxter equation for simple Lie algebras

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