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Keywords:
Leibniz cohomology; Chevalley-Eilenberg cohomology; spectral sequence; commutative Lie algebra; commutative cohomology
Leibniz cohomology; Chevalley-Eilenberg cohomology; spectral sequence; commutative Lie algebra; commutative cohomology
Summary:
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.
References:
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