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Results tagged with lie-algebroids
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user 9251
In differential geometry, Lie algebroids generalize on one hand Lie algebras, on the other hand the tangent bundle of a manifold: they are vector bundles equipped with an anchor map, i.e. a vector bundle morphism to the tangent bundle, and a Lie algebra structure on the space of sections subject to certain Leibniz rules. The integrated version of a Lie algebroid is a Lie groupoid. A purely algebraic version is a Lie-Rinehart algebra.
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When does a VBLA induce an isomorphism on Lie algebroid cohomology?
The short answer is that a VBLA always induces an injection on cohomology, but in general it isn't an isomorphism.
The less short answer is that the complex for $D \to B$ decomposes as a direct sum …
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