A Structure Theory of (-1,-1)-Freudenthal Kantor Triple Systems

• In this paper we discuss the simplicity criteria of (-1, -1)-Freudenthal Kantor triple systems and give examples of such triple systems, from which we can construct some Lie superalgebras. We also show that we can associate a Jordan triple system to any (epsilon, delta)-Freudenthal Kantor triple system. Further, we introduce the notion of delta-structurable algebras and connect them to (-1, delta)-Freudenthal Kantor triple systems and the corresponding Lie (super)algebra construction.

Ämnesord

NATURVETENSKAP  -- Matematik (hsv//swe)

NATURAL SCIENCES  -- Mathematics (hsv//eng)

Nyckelord

Lie superalgebras

triple systems

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art (ämneskategori)

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