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arxiv: 1606.02487 · v4 · pith:CWVTNXL7new · submitted 2016-06-08 · 🧮 math.RA · math.AG· math.SG

Lie algebroid cohomology as a derived functor

classification 🧮 math.RA math.AGmath.SG
keywords algebroidderivedfunctoralgebroidsattachedchevalley-eilenberg-decoefficientscohomology
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We show that the hypercohomology of the Chevalley-Eilenberg-de Rham complex of a Lie algebroid L over a scheme with coefficients in an L-module can be expressed as a derived functor. We use this fact to study a Hochschild-Serre type spectral sequence attached to an extension of Lie algebroids.

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