(-1,-1)-Balanced Freudenthal Kantor triple systems and noncommutative Jordan algebras
Rings and Algebras
2007-05-23 v1
Abstract
A noncommutative Jordan algebra of a specific type is attached to any (-1,-1)-balanced Freudenthal Kantor triple system, in such a way that the triple product in this system is determined by the binary product in the algebra. Over fields of characteristic zero, the simple noncommutative Jordan algebras of this type are classified.
Keywords
Cite
@article{arxiv.math/0404550,
title = {(-1,-1)-Balanced Freudenthal Kantor triple systems and noncommutative Jordan algebras},
author = {Alberto Elduque and Noriaki Kamiya and Susumu Okubo},
journal= {arXiv preprint arXiv:math/0404550},
year = {2007}
}
Comments
19 pages, LaTeX