Leibniz algebra deformations of a Lie algebra

Details Leibniz algebra deformations of a Lie algebra Leibniz algebra deformations of a Lie algebra

2008-02-09

arxiv.org/abs/0802.1263v1

Mathematics

K-Theory and Homology

15 pages

Scientific paper

10.1063/1.2981562

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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