Lie algebroid cohomology as a derived functor
arXiv:1606.02487 · doi:10.1016/j.jalgebra.2017.03.030
Abstract
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.
15 pages. v2: an incomplete argument has been fixed. Some details and acknowledgements have been added. v3: 16 pages, some details added. v4: minor corrections. Final version to appear in Journal of Algebra