The extended Freudenthal Magic Square and Jordan algebras

Details The extended Freudenthal Magic Square and Jordan algebras The extended Freudenthal Magic Square and Jordan algebras

2006-08-08

arxiv.org/abs/math/0608191v1

Mathematics

Rings and Algebras

23 pages

Scientific paper

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.

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