# Nonabelian Lie algebroid extensions

Abstract : We classify nonabelian extensions of Lie algebroids in the holomorphic or algebraic category, and introduce and study a spectral sequence that one can attach to any such extension and generalizes the Hochschild-Serre spectral sequence associated to an ideal in a Lie algebra. We compute the differentials of the spectral sequence up to $d_2$.
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Preprints, Working Papers, ...
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https://hal.archives-ouvertes.fr/hal-00823218
Submitted on : Thursday, May 16, 2013 - 12:51:46 PM
Last modification on : Monday, March 9, 2020 - 6:15:54 PM

### Identifiers

• HAL Id : hal-00823218, version 1
• ARXIV : 1305.2377

### Citation

Ugo Bruzzo, Igor Mencattini, Vladimir Rubtsov, Pietro Tortella. Nonabelian Lie algebroid extensions. 2013. ⟨hal-00823218⟩

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