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arxiv: 0802.1263 · v1 · submitted 2008-02-09 · 🧮 math.KT · math.QA

Leibniz algebra deformations of a Lie algebra

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keywords algebradeformationsleibnizmathfrakversalbasecomparecompute
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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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