An extended Freudenthal Magic Square in characteristic 3

被引：12

作者：

Cunha, Isabel ^{[1
]}

Elduque, Alberto ^{[2
]}

机构：

[1] Univ Beira Interior, Dept Matemat, P-6200 Covilha, Portugal

[2] Univ Zaragoza, Inst Univ Matemat & Aplicac, Dept Matemat, E-50009 Zaragoza, Spain

来源：

JOURNAL OF ALGEBRA | 2007年 / 317卷 / 02期

关键词：

Freudenthal's Magic Square; simple Lie superalgebras; characteristic; 3;

D O I：

10.1016/j.jalgebra.2007.07.028

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

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.

引用

页码：471 / 509

页数：39

共 28 条

[1] NONASSOCIATIVE COEFFICIENT ALGEBRAS FOR STEINBERG UNITARY LIE-ALGEBRAS [J].