An Extended Freudenthal Magic Square in characteristic 3

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• 作者：Isabel Cunha ; Alberto Elduque
• 关键词：Freudenthal's Magic Square ; Simple Lie superalgebras ; Characteristic 3
• 刊名：Journal of Algebra
• 出版年：2007
• 出版时间：15 November 2007
• 年：2007
• 卷：317
• 期：2
• 页码：471-509
• 全文大小：351 K

文摘

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.