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Spectral sequences for commutative Lie algebras
Communications in Mathematics, Tome 28 (2020) no. 2, pp. 123-137 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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.
Classification : 17A30, 17A32, 17B50, 17B55, 17B56
Keywords: Leibniz cohomology; Chevalley-Eilenberg cohomology; spectral sequence; commutative Lie algebra; commutative cohomology 
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Wagemann, Friedrich. Spectral sequences for commutative Lie algebras. Communications in Mathematics, Tome 28 (2020) no. 2, pp. 123-137. http://geodesic.mathdoc.fr/item/COMIM_2020_28_2_a2/

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