LINEARIZATION OF POISSON–LIE STRUCTURES ON THE 2D EUCLIDEAN AND (1 + 1) POINCARÉ GROUPS

DOI10.15826/umj.2021.2.002zbMath1500.53088OpenAlexW4205887935WikidataQ114051728 ScholiaQ114051728MaRDI QIDQ5068492

Mohamed Wadia Mansouri, Bousselham Ganbouri

Publication date: 6 April 2022

Published in: Ural Mathematical Journal (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/umj147

zbMATH Keywords

linearizationPoisson-Lie groupsLie bialgebras

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Poisson manifolds; Poisson groupoids and algebroids (53D17) Lie groups (22E99) Lie algebras and Lie superalgebras (17B99)

Cites Work

• Unnamed Item
• Linearization of Poisson Lie group structures
• The local structure of Poisson manifolds
• Normal forms for analytic Poisson structures
• Linéarisation de certaines structures de Poisson. (Linearization of certain Poisson structures)
• Normal forms for smooth Poisson structures
• Poisson Lie groups, dressing transformations, and Bruhat decompositions
• Linearization of some Poisson-Lie tensor
• Classification of three-dimensional Lie bialgebras
• Comparison of Poisson structures and Poisson-Lie dynamical r-matrices
• Quantum groups

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