2008/10/08 by Olivier Brahic, Brahic, Olivier
Mathematics · Physics and Astronomy · #Homotopy and Cohomology in Algebraic Topology #Nonlinear Waves and Solitons #Advanced Topics in Algebra
paper · pdf · doi:10.48550/arxiv.0810.1462
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.