Poisson algebras and symmetric Leibniz bialgebra structures on oscillator Lie algebras

DOI10.1016/j.geomphys.2020.103939zbMath1505.17014arXiv2003.12608OpenAlexW3013491406WikidataQ123348038 ScholiaQ123348038MaRDI QIDQ2220099

Maria Elisabete Félix Barreiro Carvalho, Saïd Benayadi, Helena Albuquerque, Mohamed Boucetta, José M. Sánchez Delgado

Publication date: 21 January 2021

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.12608

zbMATH Keywords

Leibniz bialgebrasoscillator Lie algebrassymmetric Leibniz algebras

Mathematics Subject Classification ID

Poisson manifolds; Poisson groupoids and algebroids (53D17) Poisson algebras (17B63) Leibniz algebras (17A32) Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60)

Related Items (10)

Transposed Poisson structures ⋮ Quadratic Lie algebras with 2-plectic structures ⋮ Transposed Poisson structures on generalized Witt algebras and Block Lie algebras ⋮ Transposed Poisson structures on solvable and perfect Lie algebras ⋮ Transposed Poisson structures on Witt type algebras ⋮ Transposed Poisson structures on Galilean and solvable Lie algebras ⋮ The algebraic and geometric classification of nilpotent weakly associative and symmetric Leibniz algebras ⋮ Unnamed Item ⋮ \(\frac12\)-derivations of Lie algebras and transposed Poisson algebras ⋮ Transposed Poisson structures on Block Lie algebras and superalgebras

Cites Work

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• Poisson bialgebras

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