(−1,−1)-Balanced Freudenthal Kantor triple systems and noncommutative Jordan algebras
- 作者：Alberto Elduque ; Noriaki Kamiya and Susumu Okubo
- 关键词：Generalized Jordan triple system ; Balanced Freudenthal Kantor triple system ; Noncommutative Jordan algebra ; Quadratic ; Lie superalgebra
- 刊名：Journal of Algebra
- 出版年：2005
- 期刊代码：69_00218693
- 类别：mt
- 出版时间：2005
- 卷：294
- 期：1
- 页码：19-40
- 文件大小：155 K
摘要
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.