Lie algebroid cohomology and Lie algebroid extensions
2017
We consider the extension problem for Lie algebroids over schemes over a field. Given a locally free Lie algebroid Q over a scheme (X,O), and a sheaf of finitely generated Lie O-algebras L, we determine the obstruction to the existence of extensions 0 --> L --> E --> Q --> 0, and classify the extensions in terms of a suitable Lie algebroid hypercohomology group. In the preliminary sections we study free Lie algebroids and recall some basic facts about Lie algebroid hypercohomology.
Keywords:
- Correction
- Cite
- Save
- Machine Reading By IdeaReader
13
References
0
Citations
NaN
KQI