Simplicity in the Faulkner construction

Details Simplicity in the Faulkner construction Simplicity in the Faulkner construction

2009-05-29

arxiv.org/abs/0905.4900v2

Physics

High Energy Physics

High Energy Physics - Theory

12 pages. (v2: corrected an error in the proof of the third theorem. The results are unchanged.)

Scientific paper

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.

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