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arXiv · 1205.2489

Left unital Kantor triple systems and structurable algebras

Alberto Elduque·Noriaki Kamiya·Susumu Okubo
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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).

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Alberto Elduque, Noriaki Kamiya, Susumu Okubo. 2012-05-11. Left unital Kantor triple systems and structurable algebras. https://arxiv.org/abs/1205.2489

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