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arXiv · 1408.2225

Remarks on Leibniz algebras

Yunhe Sheng·Zhangju Liu
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Abstract

In this paper, first we construct a Lie 2-algebra associated to every Leibniz algebra via the skew-symmetrization. Furthermore, we introduce the notion of the naive representation for a Leibniz algebra in order to realize the abstract operations as a concrete linear operation. At last, we study some properties of naive cohomologies.

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Yunhe Sheng, Zhangju Liu. 2014-08-10. Remarks on Leibniz algebras. https://arxiv.org/abs/1408.2225

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