Extensions of Lie Brackets
Differential Geometry
2010-01-18 v5
Abstract
We provide a framework for extensions of Lie algebroids, including non-abelian extensions and Lie algebroids over different bases. Our approach involves Ehresmann connections, which allows straight generalizations of classical constructions. We exhibit a filtration in cohomology and explain the associated spectral sequence. We also give a description of the groupoid integrating an extension in case a complete connection can be fixed. The problem of integrability is also studied.
Cite
@article{arxiv.0810.1462,
title = {Extensions of Lie Brackets},
author = {Olivier Brahic},
journal= {arXiv preprint arXiv:0810.1462},
year = {2010}
}
Comments
34 pages