Extensions of Lie brackets

JOURNAL OF GEOMETRY AND PHYSICS

卷:60

Article

Brahic, Olivier

关键词: Lie algebroids;    Lie groupoids;    Extensions;   

DOI  :  10.1016/j.geomphys.2009.10.006

来源: Elsevier

【 摘 要 】

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 exists. The integrability is also studied. (C) 2009 Elsevier B.V. All rights reserved.

【 授权许可】

Free