The Supermagic Square in characteristic 3 and Jordan superalgebras

Details The Supermagic Square in characteristic 3 and Jordan superalgebras The Supermagic Square in characteristic 3 and Jordan superalgebras

2008-02-22

arxiv.org/abs/0802.3271v1

Mathematics

Rings and Algebras

14 pages. Paper presented at the conference "Algebras, Representations and Applications", in Honour of Prof. Ivan Shestakov's

Scientific paper

Recently, the classical Freudenthal Magic Square has been extended over fields of characteristic 3 with two more rows and columns filled with (mostly simple) Lie superalgebras specific of this characteristic. This Supermagic Square will be reviewed and some of the simple Lie superalgebras that appear will be shown to be isomorphic to the Tits-Kantor-Koecher Lie superalgebras of some Jordan superalgebras.

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