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A CHARACTERIZATION OF (−1, −1)-FREUDENTHAL–KANTOR TRIPLE SYSTEMS

Published online by Cambridge University Press:  01 August 2011

NORIAKI KAMIYA ,
DANIEL MONDOC  and
SUSUMU OKUBO
NORIAKI KAMIYA
Affiliation:
Center for Mathematical Sciences, University of Aizu, 965-8580 Aizuwakamatsu, Japan e-mail: kamiya@u-aizu.ac.jp
DANIEL MONDOC
Affiliation:
Centre for Mathematical Sciences, Lund University, 22 100 Lund, Sweden e-mail: Daniel.Mondoc@math.lu.se
SUSUMU OKUBO
Affiliation:
Department of Physics, University of Rochester, Rochester, NY 14627, USA e-mail: okubo@pas.rochester.edu
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Abstract

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In this paper, we discuss a connection between (−1, −1)-Freudenthal–Kantor triple systems, anti-structurable algebras, quasi anti-flexible algebras and give examples of such structures. The paper provides the correspondence and characterization of a bilinear product corresponding a triple product.

Keywords

17A4017B60
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 53 , Issue 3 , September 2011 , pp. 727 - 738
Copyright
Copyright © Glasgow Mathematical Journal Trust 2011

References

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