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arXiv · 0802.1263

Leibniz algebra deformations of a Lie algebra

Alice Fialowski·Ashis Mandal
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Abstract

In this note we compute Leibniz algebra deformations of the 3-dimensional nilpotent Lie algebra $\mathfrak{n}_3$ and compare it with its Lie deformations. It turns out that there are 3 extra Leibniz deformations. We also describe the versal Leibniz deformation of $\mathfrak{n}_3$ with the versal base.

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Alice Fialowski, Ashis Mandal. 2008-02-09. Leibniz algebra deformations of a Lie algebra. https://doi.org/10.1063/1.2981562

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