Schunck classes of soluble Leibniz algebras
Rings and Algebras
2011-01-26 v2
Abstract
I set out the theory of Schunck classes and projectors for soluble Leibniz algebras, parallel to that for Lie algebras. Primitive Leibniz algebras come in pairs, one (Lie) symmetric, the other antisymmetric. A Schunck formation containing one member of a pair also contains the other. Projectors for a Schunck formation are intravariant.
Keywords
Cite
@article{arxiv.1101.3046,
title = {Schunck classes of soluble Leibniz algebras},
author = {Donald W. Barnes},
journal= {arXiv preprint arXiv:1101.3046},
year = {2011}
}
Comments
19 pages. Where old work on Lie algebras extends unchanged to Leibniz algebras, the proofs have been omitted. Corrects typos, gives a neater proof of Theorem 1.14 (now Theorem 1.10) and corrects an error in the proof of Theorem 6.8