Left unital Kantor triple systems and structurable algebras
Rings and Algebras
2012-05-14 v1
Abstract
Left unital Kantor triple systems will be shown to correspond to structurable algebras endowed with an involutive automorphism. A related result is proved for (-1,-1) Freudenthal-Kantor triple systems. Some consequences for the associated 5-graded Lie algebras and superalgebras are deduced too. In particular, left unital (-1,-1) Freudenthal-Kantor triple systems are shown to be intimately related to Lie superalgebras graded over the root system of type B(0,1).
Keywords
Cite
@article{arxiv.1205.2489,
title = {Left unital Kantor triple systems and structurable algebras},
author = {Alberto Elduque and Noriaki Kamiya and Susumu Okubo},
journal= {arXiv preprint arXiv:1205.2489},
year = {2012}
}
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17 pages