Left unital Kantor triple systems and structurable algebras

Autor:	Elduque, Alberto, Kamiya, Noriaki, Okubo, Susumu
Rok vydání:	2012
Předmět:	Mathematics - Rings and Algebras 17A40 17B60
Druh dokumentu:	Working Paper
Popis:	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). Comment: 17 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1205.2489 Zobrazit plný text záznamu View this record from Arxiv