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Pré-Publication, Document De Travail Année : 2013

Nonabelian Lie algebroid extensions

Résumé

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 $d_2$.

Dates et versions

hal-00823218 , version 1 (16-05-2013)

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