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Special Freudenthal–Kantor triple systems and Lie algebras with dicyclic symmetry

Published online by Cambridge University Press:  15 November 2011

Alberto Elduque  and
Susumu Okubo
Alberto Elduque
Affiliation:
Departamento de Matemáticas e Instituto Universitario de Matemáticas y Aplicaciones, Universidad de Zaragoza, 50009 Zaragoza, Spain (elduque@unizar.es)
Susumu Okubo
Affiliation:
Department of Physics and Astronomy, University of Rochester, Rochester, NY 14627, USA (okubo@pas.rochester.edu)
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Abstract

We study Lie algebras endowed with an action by automorphisms of the dicyclic group of degree 3. The close connections of these algebras with Lie algebras graded over the non-reduced root system BC1, with J-ternary algebras and with Freudenthal–Kantor triple systems are explored.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 141 , Issue 6 , December 2011 , pp. 1225 - 1262
Copyright
Copyright © Royal Society of Edinburgh 2011

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