An extended Freudenthal Magic Square in characteristic 3

[摘要] Freudenthal's Magic Square, which in characteristic 0 contains the exceptional Lie algebras other than G(2), 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. (c) 2007 Elsevier Inc. All rights reserved.

[发布日期] 2007-11-15

[关键词] Freudenthal's Magic Square;simple Lie superalgebras;characteristic 3