English

Leibniz algebra deformations of a Lie algebra

K-Theory and Homology 2009-11-13 v1 Quantum Algebra

Abstract

In this note we compute Leibniz algebra deformations of the 3-dimensional nilpotent Lie algebra n3\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 n3\mathfrak{n}_3 with the versal base.

Keywords

Cite

@article{arxiv.0802.1263,
  title  = {Leibniz algebra deformations of a Lie algebra},
  author = {Alice Fialowski and Ashis Mandal},
  journal= {arXiv preprint arXiv:0802.1263},
  year   = {2009}
}

Comments

15 pages

R2 v1 2026-06-21T10:11:06.739Z