An extended Freudenthal Magic Square in characteristic 3

Details An extended Freudenthal Magic Square in characteristic 3 An extended Freudenthal Magic Square in characteristic 3

2006-05-15

arxiv.org/abs/math/0605379v1

Mathematics

Rings and Algebras

37 pages

Scientific paper

Freudenthal's Magic Square, which in characteristic 0 contains the exceptional Lie algebras other than G2, is extended over fields of characteristic 3, through the use of symmetric composition superalgebras, to a larger square that contains both Lie algebras and superalgebras. With one exception, the simple Lie superalgebras that appear have no counterpart in characteristic 0.

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