可解莱布尼茨代数的Schunck类
环与代数
2011-01-26 v2
摘要
我阐述了可解莱布尼茨代数的Schunck类和投影子理论，与李代数的相应理论平行。本原莱布尼茨代数成对出现，一个（李）对称，另一个反对称。包含一对中一个成员的Schunck形成也包含另一个。Schunck形成的投影子是内变的。
引用
@article{arxiv.1101.3046,
title = {Schunck classes of soluble Leibniz algebras},
author = {Donald W. Barnes},
journal= {arXiv preprint arXiv:1101.3046},
year = {2011}
}
备注
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