Nambu-Dirac structures for Lie algebroids

DOI10.1023/A:1020735529188zbMath1027.53106arXivmath/0204310MaRDI QIDQ1868229

Aïssa Wade

Publication date: 27 April 2003

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0204310

zbMATH Keywords

Dirac structuresLie algebroidLeibniz algebrabialgebroidLie algebroid cohomologyNambu-Poisson manifoldNambu-Poisson brackets

Mathematics Subject Classification ID

Poisson manifolds; Poisson groupoids and algebroids (53D17) Poisson algebras (17B63) Pseudogroups and differentiable groupoids (58H05) Leibniz algebras (17A32) Hamiltonian and Lagrangian mechanics (70H99)

Related Items (10)

AKSZ CONSTRUCTION OF TOPOLOGICAL OPEN p-BRANE ACTION AND NAMBU BRACKETS ⋮ Reduction of Nambu-Poisson manifolds by regular distributions ⋮ Leibniz algebroids, twistings and exceptional generalized geometry ⋮ Nambu structures and associated bialgebroids ⋮ The geometry of graded cotangent bundles ⋮ Derived brackets ⋮ Nambu structures on Lie algebroids and their modular classes ⋮ $L_\infty$ and $A_\infty$ structures: then and now ⋮ Brackets by any other name ⋮ CURRENT ALGEBRAS AND QP-MANIFOLDS

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