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Results tagged with lie-algebroids
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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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Almost but not quite a Lie algebroid: what is it?
In some calculations, I have arrived at the following algebraic structure, reminiscent of a Lie algebroid, but not quite.
I have a real line bundle $E \to M$, on whose smooth sections $\Gamma(E)$ I h …
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