Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8896082 | Journal of Algebra | 2018 | 26 Pages |
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 0âLâEâQâ0, 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
Authors
E. Aldrovandi, U. Bruzzo, V. Rubtsov,