Lie algebroid cohomology as a derived functor
Rings and Algebras
2017-08-31 v4 Algebraic Geometry
Symplectic Geometry
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.
Keywords
Cite
@article{arxiv.1606.02487,
title = {Lie algebroid cohomology as a derived functor},
author = {Ugo Bruzzo},
journal= {arXiv preprint arXiv:1606.02487},
year = {2017}
}
Comments
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