Triangulable Leibniz Algebras
Rings and Algebras
2015-04-16 v1
Abstract
A converse to Lie's theorem for Leibniz algebras is found and generalized. The result is used to find cases in which the generalized property, called triangulable, is 2-recognizeable; that is, if all 2-generated subalgebras are triangulable, then the algebra is also. Triangulability joins solvability, supersolvability, strong solvability, and nilpotentcy as a 2-recognizeable property for classes of Leibniz algebras.
Cite
@article{arxiv.1504.04001,
title = {Triangulable Leibniz Algebras},
author = {Tiffany Burch and Ernie Stitzinger},
journal= {arXiv preprint arXiv:1504.04001},
year = {2015}
}