Gradings on semisimple algebras

被引：1
|
作者：
Cordova-Martinez, Alejandra S.
Elduque, Alberto [1 ]
机构：
[1] Univ Zaragoza, Dept Matemat, E-50009 Zaragoza, Spain
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 2018年 / 559卷
关键词：
Grading; Fine; Semisimple algebra; Graded-simple; Loop algebra; LIE GRADINGS;
D O I：
10.1016/j.laa.2018.09.002
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The classification of gradings by abelian groups on finite direct sums of simple finite-dimensional nonassociative algebras over an algebraically closed field is reduced, by means of the use of loop algebras, to the corresponding problem for simple algebras. This requires a good definition of (free) products of group-gradings. (C) 2018 Elsevier Inc. All rights reserved.
引用
收藏
页码：145 / 171
页数：27
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