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arXiv · 2512.19319

A New Approach to Defining Cochain Complexes for dual Leibniz algebra

Hassan Alhussein
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Abstract

We construct a cochain map embedding the cohomology complex of any dual Leibniz algebra $B$ into the Lie algebra cochain complex of $\mathfrak{g} \otimes B$, where $\mathfrak{g}$ is a Leibniz algebra. This reduces the study of dual Leibniz cohomology to classical Lie algebra cohomology, yielding computational simplifications and new structural insights.

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Hassan Alhussein. 2025-12-22. A New Approach to Defining Cochain Complexes for dual Leibniz algebra. https://arxiv.org/abs/2512.19319

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