3-Lie bialgebras and 3-Lie classical Yang–Baxter equations in low dimensions

DOI10.1080/03081087.2017.1366413zbMath1390.16031arXiv1705.05993OpenAlexW3101783264WikidataQ115299551 ScholiaQ115299551MaRDI QIDQ4567772

Cheng-Ming Bai, Chengyu du, Li Guo

Publication date: 20 June 2018

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.05993

zbMATH Keywords

classical Yang-Baxter equationManin triplebialgebra3-Lie algebra3-Lie bialgebra

Mathematics Subject Classification ID

String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Lie bialgebras; Lie coalgebras (17B62) Nonassociative algebras satisfying other identities (17A30) Bialgebras (16T10) Yang-Baxter equations (16T25)

Related Items (4)

On 3-Lie algebras with a derivation ⋮ Extending structures for 3-Lie algebras ⋮ Rota–Baxter operators of nonzero weight on the matrix algebra of order three ⋮ Yau-type ternary Hom-Lie bialgebras

Cites Work

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• Algebraic structures on parallel M2 branes
• On foundation of the generalized Nambu mechanics
• Some remarks concerning Nambu mechanics
• On classification of \(n\)-Lie algebras
• 3-Lie bialgebras
• Representations of Vector Productn-Lie Algebras
• Lorentzian Lie n-algebras
• Generalized Hamiltonian Dynamics

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