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Nonabelian Lie algebroid extensions

TitleNonabelian Lie algebroid extensions
Publication TypeJournal Article
Year of Publication2013
AuthorsBruzzo, U, Mencattini, I, Tortella, P, Rubtsov, V
KeywordsLie algebroids, nonabelian extensions, spectral sequences
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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