Nambu structures on Lie algebroids and their modular classes

DOI10.1007/s12044-019-0496-6zbMath1473.17007arXiv1610.01184OpenAlexW2963693645MaRDI QIDQ2274772

Shilpa Gondhali, Apurba Das, Goutam Mukherjee

Publication date: 1 October 2019

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.01184

zbMATH Keywords

modular classLie algebroidLeibniz algebroidNambu-Poisson manifoldLeibniz algebra cohomology

Mathematics Subject Classification ID

Poisson manifolds; Poisson groupoids and algebroids (53D17) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Leibniz algebras (17A32) Other (n)-ary compositions ((n ge 3)) (17A42)

Related Items (2)

Multiplicative Nambu structures on Lie groupoids ⋮ Nambu structures and associated bialgebroids

Cites Work

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• Free Courant and derived Leibniz pseudoalgebras
• The modular class of a Dirac map
• The supergeometry of Loday algebroids
• Modular classes of Lie algebroid morphisms
• On foundation of the generalized Nambu mechanics
• Lectures on the geometry of Poisson manifolds
• A noncommutative version of Lie algebras: Leibniz algebras
• The modular automorphism group of a Poisson manifold
• Nambu-Dirac structures for Lie algebroids
• Modular classes of regular twisted Poisson structures on Lie algebroids
• Poisson manifolds, Lie algebroids, modular classes: a survey
• Relative modular classes of Lie algebroids
• Poisson structures and their normal forms
• Modular classes of Poisson-Nijenhuis Lie algebroids
• Modular classes revisited
• Nambu–Jacobi structures and Jacobi algebroids
• Nambu-Dirac manifolds
• Duality and modular class of a Nambu-Poisson structure
• Generalized Hamiltonian Dynamics
• Transverse measures, the modular class and a cohomology pairing for Lie algebroids
• Leibniz algebroid associated with a Nambu-Poisson structure
• Remarks on Nambu-Poisson and Nambu-Jacobi brackets
• Jacobi–Nijenhuis algebroids and their modular classes

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