The extended Freudenthal Magic Square and Jordan algebras

2006/08/08 by Cunha, Isabel, Elduque, Alberto · 1 citation
#17B25 #FOS: Mathematics #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.math/0608191

Abstract

The Lie superalgebras in the extended Freudenthal Magic Square in characteristic 3 are shown to be related to some known simple Lie superalgebras, specific to this characteristic, constructed in terms of orthogonal and symplectic triple systems, which are defined in terms of central simple degree three Jordan algebras.

Cited by

• J-ternary algebras, structurable algebras, and Lie superalgebras

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• The Supermagic Square in characteristic 3 and Jordan superalgebras
• An extended Freudenthal Magic Square in characteristic 3
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• New simple Lie superalgebras in characteristic 3
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