An extended Freudenthal Magic Square in characteristic 3

Abstract

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.

37 pages

Cited by in corpus (3)

• The Tits construction and some simple Lie superalgebras in characteristic 3
• New simple modular Lie superalgebras as generalized prolongs
• The extended Freudenthal Magic Square and Jordan algebras