3-Leibniz bialgebras (3-Lie bialgebras)

DOI10.1142/S0219887817501420zbMath1400.17003arXiv1604.04475WikidataQ122901019 ScholiaQ122901019MaRDI QIDQ5370556

A. Rezaei-Aghdam, Leila Sedghi-Ghadim

Publication date: 20 October 2017

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

Full work available at URL: https://arxiv.org/abs/1604.04475

zbMATH Keywords

3-Lie algebracohomology of Lie algebra3-Leibniz algebra3-Lie bialgebra3-Leibniz bialgebra

Mathematics Subject Classification ID

Applications of Lie algebras and superalgebras to integrable systems (17B80) Cohomology of Lie (super)algebras (17B56) Leibniz algebras (17A32) Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60) Ternary compositions (17A40)

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Twilled 3-Lie algebras, generalized matched pairs of 3-Lie algebras and \(\mathcal{O}\)-operators, Yau-type ternary Hom-Lie bialgebras, 3-Leibniz bialgebras (3-Lie bialgebras), On the concept of digroup action

Cites Work

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• Cartan-Weyl 3-algebras and the BLG theory. II: Strong-semisimplicity and generalized Cartan-Weyl 3-algebras
• The classification on nilpotent Leibniz 3-algebras
• What is a classical r-matrix?
• Algebraic structures on parallel M2 branes
• Universal enveloping algebras of Leibniz algebras and (co)homology
• Hopf structure in Nambu-Lie \(n\)-algebras
• Some remarks concerning Nambu mechanics
• Leibniz bialgebras, classical Yang-Baxter equations and dynamical systems
• Cartan-Weyl 3-algebras and the BLG theory. I: Classification of Cartan-Weyl 3-algebras
• On classification of \(n\)-Lie algebras
• 3-Lie bialgebras
• Leibniz n-algebras
• n-ary algebras: a review with applications
• 3-Leibniz bialgebras (3-Lie bialgebras)
• MULTIOPERATOR RINGS AND ALGEBRAS