Geodesic
Spectral sequences for commutative Lie algebras
Communications in Mathematics, Tome 28 (2020) no. 2, pp. 123-137.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

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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     author = {Wagemann, Friedrich},
     title = {Spectral sequences for commutative {Lie} algebras},
     journal = {Communications in Mathematics},
     pages = {123--137},
     publisher = {mathdoc},
     volume = {28},
     number = {2},
     year = {2020},
     mrnumber = {4162925},
     zbl = {07300185},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/COMIM_2020__28_2_a2/}
}
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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/