Absolute Valued Strongly Power-Associative Triple Systems

Abstract

Absolute valued triple system are the natural ternary extension of absolute valued algebras. In this article we classify strongly power-associative absolute valued triple systems.

Keywords:

• Absolute values
• Alternative algebras
• Structure group of a Jordan and an alternative algebra
• Triality
• Triple systems

AMS Subject Classification:

• 17A40
• 17A80
• 17C30
• 17D05

ACKNOWLEDGMENTS

We would like to thank the referee for his suggestions which have improved the final version of this work.

The authors are supported in part by the PCI of the UCA ‘Teorí a de Lie y teorí a de espacios de Banach’, by the PAI with project numbers FQM-298, FQM-336, by the project of the Spanish Ministerio de Educación y Ciencia MTM2004-06580-C02-02 and with FEDER funds.

Notes

Communicated by I. P. Shestakov.