The existence of superinvolutions

被引：13
|
作者：
Elduque, A. [1 ,2 ]
Villa, O. [3 ]
机构：
[1] Univ Zaragoza, Dept Matemat, E-50009 Zaragoza, Spain
[2] Univ Zaragoza, Inst Univ Matemat & Aplicaciones, E-50009 Zaragoza, Spain
[3] Univ Zaragoza, Dept Matemat, E-50009 Zaragoza, Spain
来源：
JOURNAL OF ALGEBRA | 2008年 / 319卷 / 10期
关键词：
superinvolution; Albert theorem; Albert-Riehm theorem; superalgebra; simple; central;
D O I：
10.1016/j.jalgebra.2007.10.044
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Superinvolutions on graded associative algebras constitute a source of Lie and Jordan superalgebras. Graded versions of the classical Albert and Albert-Riehm Theorems on the existence of superinvolutions are proven. Surprisingly, the existence of superinvolutions of the first kind is a rare phenomenon, as non-trivial central division superalgebras are never endowed with this kind of superinvolutions. (C) 2008 Elsevier Inc. All rights reserved.
引用
收藏
页码：4338 / 4359
页数：22
相关论文
共 50 条
12345