Classification of division gradings on finite-dimensional simple real algebras

被引：14

作者：

Rodrigo-Escudero, Adrian ^{[1
,2
]}

机构：

[1] Univ Zaragoza, Dept Matemat, E-50009 Zaragoza, Spain

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

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2016年 / 493卷

关键词：

Graded algebra; Division grading; Simple real algebra; Classification;

D O I：

10.1016/j.laa.2015.11.025

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We classify, up to isomorphism and up to equivalence, division gradings (by abelian groups) on finite-dimensional simple real algebras. Gradings on finite-dimensional simple algebras are determined by division gradings, so our results give the classification, up to isomorphism, of (not necessarily division) gradings on such algebras. Linear algebra over the field of two elements plays an interesting role in the proofs. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：164 / 182

页数：19

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