Gradings on classical central simple real Lie algebras

被引：11

作者：

Bahturin, Yuri ^{[1
]}

Kochetov, Mikhail ^{[1
]}

Rodrigo-Escudero, Adrian ^{[2
,3
]}

机构：

[1] Mem Univ Newfoundland, Dept Math & Stat, St John, NF A1C 5S7, Canada

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

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

来源：

JOURNAL OF ALGEBRA | 2018年 / 506卷

基金：

加拿大自然科学与工程研究理事会;

关键词：

Graded algebra; Graded module; Classical simple Lie algebra; Real algebra; Classification; FINE GRADINGS; CLASSIFICATION;

D O I：

10.1016/j.jalgebra.2018.02.036

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For any abelian group G, we classify up to isomorphism all G-gradings on the classical central simple Lie algebras, except those of type D-4, over the field of real numbers (or any real closed field). (C) 2018 Elsevier Inc. All rights reserved.

引用

页码：1 / 42

页数：42

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