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arxiv: 1401.7468 · v1 · pith:7O7NS7JUnew · submitted 2014-01-29 · 🧮 math.DG

Modular Class of a Lie algebroid with a Nambu structure

classification 🧮 math.DG
keywords classmodularalgebroidintroducenambustructuretheoriesalgebroids
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In this paper, we introduce the notion of modular class of a Lie algebroid $A$ equipped with a Nambu structure satisfying some suitable hypothesis. We also introduce cohomology and homology theories for such Lie algebroids and prove that these theories are connected by a duality isomorphism when the modular class is null.

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