Classical r-matrices of real low-dimensional Jacobi–Lie bialgebras and their Jacobi–Lie groups

DOI10.1142/S0219887816500870zbMath1402.17026arXiv1407.7106OpenAlexW3101782627WikidataQ115245377 ScholiaQ115245377MaRDI QIDQ2816547

A. Rezaei-Aghdam, M. Sephid

Publication date: 23 August 2016

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1407.7106

zbMATH Keywords

classical \(r\)-matrixJacobi-Lie bialgebraJacobi-Lie group

Mathematics Subject Classification ID

Applications of Lie algebras and superalgebras to integrable systems (17B80) Lie bialgebras; Lie coalgebras (17B62)

Related Items

Jacobi-Lie Hamiltonian Systems on Real Low-Dimensional Jacobi-Lie Groups and their Lie Symmetries ⋮ Classification of real low-dimensional Jacobi (generalized)–Lie bialgebras ⋮ Jacobi-Lie symmetry and Jacobi-Lie T-dual sigma models on group manifolds ⋮ Invariant Poisson–Nijenhuis structures on Lie groups and classification

Cites Work

• Classical \(r\)-matrices of two- and three-dimensional Lie superbialgebras and their Poisson-Lie supergroups
• Structure locale des variétés de Jacobi. (Local structure of Jacobi manifolds)
• Les variétés de Poisson et leurs algèbres de Lie associees
• Les variétés de Jacobi et leurs algèbres de Lie associees
• Lectures on the geometry of Poisson manifolds
• Generalized Lie bialgebras and Jacobi structures on Lie groups.
• Classification of real low-dimensional Jacobi (generalized)–Lie bialgebras
• Solutions of the graded classical Yang-Baxter equation and integrable models
• Classification of real three-dimensional Lie bialgebras and their Poisson–Lie groups
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