Abstract
Left unital Kantor triple systems will be shown to coincide with the triple systems attached to structurable algebras endowed with an involutive automorphism , with triple product given by the formula . A related result is proved for Freudenthal-Kantor triple systems. Some consequences for the associated five-graded Lie algebras and superalgebras are deduced too. In particular, left unital Freudenthal-Kantor triple systems are shown to be closely related to Lie superalgebras strictly graded over the root system of type .
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