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arxiv: 1408.2225 · v1 · pith:CGXLQR3Jnew · submitted 2014-08-10 · 🧮 math.RT · math.RA

Remarks on Leibniz algebras

classification 🧮 math.RT math.RA
keywords algebraleibniznaiveabstractalgebrasassociatedcohomologiesconcrete
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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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