The paper constructs Hochschild-Serre and comparison spectral sequences for commutative Lie algebra cohomology in characteristic 2, but the example computations in Section 4 are incorrect.
On Leibniz cohomology
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abstract
In this paper we prove the Leibniz analogue of Whitehead's vanishing theorem for the Chevalley-Eilenberg cohomology of Lie algebras. As a consequence, we obtain the second Whitehead lemma for Leibniz algebras. Moreover, we compute the cohomology of several Leibniz algebras with adjoint or irreducible coefficients. Our main tool is a Leibniz analogue of the Hochschild-Serre spectral sequence, which is an extension of (the dual of) a spectral sequence of Pirashvili for Leibniz homology from symmetric bimodules to arbitrary bimodules.
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Spectral Sequences For Commutative Lie Algebras
The paper constructs Hochschild-Serre and comparison spectral sequences for commutative Lie algebra cohomology in characteristic 2, but the example computations in Section 4 are incorrect.