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Lie algebroid cohomology and Lie algebroid extensions

Aldrovandi, E.
•
Bruzzo, U.
•
Rubtsov, V.
2018
  • journal article

Periodico
JOURNAL OF ALGEBRA
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.
DOI
10.1016/j.jalgebra.2018.03.018
WOS
WOS:000431746300017
SCOPUS
2-s2.0-85044567437
Archivio
http://hdl.handle.net/20.500.11767/85600
Diritti
closed access
Soggetti
  • Free Lie algebroids

  • Lie algebroid cohomol...

  • Lie algebroid extensi...

  • Algebra and Number Th...

  • Settore MAT/03 - Geom...

Web of Science© citazioni
1
Data di acquisizione
May 30, 2022
Scopus© citazioni
1
Data di acquisizione
Jun 2, 2022
Vedi dettagli
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