The \(2\)-plectic structures induced by the Lie bialgebras

DOI10.3934/jgm.2017003zbMath1366.53056OpenAlexW2597566482MaRDI QIDQ2358464

Mohammad Ali Shafiee

Publication date: 15 June 2017

Published in: Journal of Geometric Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/jgm.2017003

zbMATH Keywords

Lie bialgebraManin triplePoisson Lie group\(2\)-plectic structure

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Symplectic manifolds (general theory) (53D05) Poisson manifolds; Poisson groupoids and algebroids (53D17) Lie bialgebras; Lie coalgebras (17B62)

Related Items (2)

Unnamed Item ⋮ Quadratic Lie algebras with 2-plectic structures

Cites Work

• Categorified symplectic geometry and the classical string
• A symplectic framework for field theories
• Existence of a Lie bialgebra structure on every Lie algebra
• Dressing transformations and Poisson group actions
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