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Article Dans Une Revue Communications in Mathematics Année : 2020

Spectral sequences for commutative Lie algebras

Résumé

We construct some spectral sequences as tools for computing commutative cohomology of commutative Lie algebras in characteristic 2. In a first part, we focus on a Hochschild-Serre-type spectral sequence, while in a second part we obtain spectral sequences which compare Chevalley--Eilenberg-, commutative- and Leibniz cohomology. These methods are illustrated by a few computations.
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hal-03664995 , version 1 (11-05-2022)

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Paternité - Pas d'utilisation commerciale - Pas de modification

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Friedrich Wagemann. Spectral sequences for commutative Lie algebras. Communications in Mathematics, 2020, Volume 28 (2020), Issue 2 (Special Issue: 2nd International Workshop on Nonassociative Algebras in Porto) (2), pp.123 - 137. ⟨10.2478/cm-2020-0015⟩. ⟨hal-03664995⟩
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