Article ID Journal Published Year Pages File Type
8896082 Journal of Algebra 2018 26 Pages PDF
Abstract
We consider the extension problem for Lie algebroids over schemes over a field. Given a locally free Lie algebroid Q over a scheme X, and a coherent sheaf of Lie OX-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.
Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
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