Simplicity in the Faulkner construction

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Abstract

We revisit the Faulkner construction of metric 3-Leibniz algebras admitting an embedding Lie (super) algebra. In the case of positive-definite signature, we relate the various notions of simplicity: of the 3-algebra, of the representation and of the embedding Lie (super) algebra. This reduces their classification to the extant classifications of simple Lie (super) algebras.

Original languageEnglish
Article number445206
Pages (from-to)-
Number of pages13
JournalJournal of physics a-Mathematical and theoretical
Volume42
Issue number44
DOIs
Publication statusPublished - 6 Nov 2009

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