Omni n-Lie algebras and linearization of higher analogues of Courant algebroids

DOI10.1142/S0219887817501134zbMath1375.53100arXiv1702.03532MaRDI QIDQ5370977

Jiefeng Liu, Chunyue Wang, Yun He Sheng

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/1702.03532

zbMATH Keywords

Nambu-Poisson structurehigher analogue of the standard Courant algebroidnon-abelian omni \(n\)-Lie algebraomni \(n\)-Lie algebra

Mathematics Subject Classification ID

Poisson manifolds; Poisson groupoids and algebroids (53D17) Lie algebras and Lie superalgebras (17B99)

Related Items (3)

Higher omni-Lie algebroids ⋮ Higher nonabelian omni-Lie algebroids ⋮ Linearization of the higher analogue of Courant algebroids

Cites Work

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• Courant algebroids. A short history
• The supergeometry of Loday algebroids
• Nijenhuis structures on Courant algebroids
• Leibniz algebroids, generalized Bismut connections and Einstein-Hilbert actions
• On higher analogues of Courant algebroids
• Semidirect products of representations up to homotopy
• Leibniz and Lie algebra structures for Nambu algebra
• On foundation of the generalized Nambu mechanics
• Universal enveloping algebras of Leibniz algebras and (co)homology
• Manin triples for Lie bialgebroids
• \(L_\infty \)-algebras and higher analogues of Dirac sturctures and Courant algebroids
• Strong homotopy Lie algebras, homotopy Poisson manifolds and Courant algebroids
• Unified products for Leibniz algebras. Applications
• Courant brackets on noncommutative algebras and omni-Lie algebras
• Leibniz algebras, Courant algebroids, and multiplications on reductive homogeneous spaces
• Nonabelian omni-Lie algebras
• n-ary algebras: a review with applications
• Linearization of Nambu Structures
• Nambu-Dirac manifolds
• Courant algebroid and Lie bialgebroid contractions
• Leibniz algebroid associated with a Nambu-Poisson structure
• General Yang–Mills type gauge theories for p-form gauge fields: From physics-based ideas to a mathematical frameworkorFrom Bianchi identities to twisted Courant algebroids
• AKSZ CONSTRUCTION OF TOPOLOGICAL OPEN p-BRANE ACTION AND NAMBU BRACKETS

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