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

页码：4338 / 4359

页数：22