Omni-representations of Leibniz algebras
Abstract
In this paper, first we introduce the notion of an omni-representation of a Leibniz algebra on a vector space V as a Leibniz algebra homomorphism from to the omni-Lie algebra (V) V. Then we introduce the omni-cohomology theory associated to omni-representations and establish the relation between omni-cohomology groups and Loday-Pirashvili cohomology groups.
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