English

Solvable Leibniz Algebras with Heisenberg Nilradical

Rings and Algebras 2014-09-23 v2

Abstract

All solvable Lie algebras with Heisenberg nilradical have already been classified. We extend this result to a classification of solvable Leibniz algebras with Heisenberg nilradical. As an example, we show the complete classification of all real or complex Leibniz algebras whose nilradical is the 3-dimensional Heisenberg algebra.

Keywords

Cite

@article{arxiv.1307.8447,
  title  = {Solvable Leibniz Algebras with Heisenberg Nilradical},
  author = {Lindsey Bosko-Dunbar and Jonathan D. Dunbar and J. T. Hird and Kristen Stagg},
  journal= {arXiv preprint arXiv:1307.8447},
  year   = {2014}
}