Indecomposable representations of the Lie algebra of derivations for d-torus

被引：0
|
作者：
LIAN HaiFeng1
2Department of Computer and Information
3Department of Mathematics
机构：
来源：
Science China(Mathematics) | 2010年 / 53卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Lie algebra; indecomposable representation; torus;
D O I：
暂无
中图分类号：
O152.5 [李群];
学科分类号：
摘要：
Let DerA be the Lie algebra of derivations of the d-torus A = C[t1± 1, . . . , td±1]. By applying Shen-Larsson’s functors we get a class of indecomposable DerA-modules from finite-dimensional indecomposable gld-modules. We also give a complete description of the submodules of these indecomposable DerA-modules. Our results generalize those obtained by Rao.
引用
收藏
页码：306 / 315
页数：10
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