(-1,-1)-Balanced Freudenthal Kantor triple systems and noncommutative Jordan algebras

Details (-1,-1)-Balanced Freudenthal Kantor triple systems and noncommutative Jordan algebras (-1,-1)-Balanced Freudenthal Kantor triple systems and noncommutative Jordan algebras

2004-04-30

arxiv.org/abs/math/0404550v1

Mathematics

Rings and Algebras

19 pages, LaTeX

Scientific paper

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.

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