Derivations on semi-simple Jordan algebras and its applications
Rings and Algebras
2019-06-12 v1
Abstract
In this paper, we mainly study the derivation algebras of semi-simple Jordan algebras over a field of characteristic and give sufficient and necessary conditions that the derivation algebras of them are simple. As an application, we prove that for a semi-simple Jordan algebra , under some assumptions. Moreover, we also show that for a semi-simple Jordan algebra which has a finite basis over a field of characteristic , . This is a corollary about our theorem which concerns Jordan algebras with unit.
Keywords
Cite
@article{arxiv.1906.04552,
title = {Derivations on semi-simple Jordan algebras and its applications},
author = {Chenrui Yao and Yao Ma and Liangyun Chen},
journal= {arXiv preprint arXiv:1906.04552},
year = {2019}
}