Complete reducibility of torsion free Cn-modules of finite degree

被引：17
作者：
Britten, D
Khomenko, O
Lemire, F
Mazorchuk, V
机构：
[1] Uppsala Univ, Dept Math, SE-75106 Uppsala, Sweden
[2] Univ Freiburg, Math Inst, D-79104 Freiburg, Germany
[3] Univ Windsor, Dept Math, Windsor, ON N9B 3P4, Canada
来源：
JOURNAL OF ALGEBRA | 2004年 / 276卷 / 01期
基金：
加拿大自然科学与工程研究理事会;
关键词：
D O I：
10.1016/j.jalgebra.2004.02.021
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We show that every torsion free weight module with finite dimensional weight spaces over a symplectic complex Lie algebra, which is different from sp(2, C), is completely reducible. (C) 2004 Elsevier Inc. All rights reserved.
引用
收藏
页码：129 / 142
页数：14
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