Semisimple Modules for Finite Groups of Lie Type
Semisimple Modules for Finite Groups of Lie Type
复制标题
李型有限群的半简单模
DOI：
10.1112/s0024610799007966
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发表时间：
1999
期刊：
影响因子：
--
通讯作者：
George J. McNinch
中科院分区：
文献类型：
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作者：
George J. McNinch
设k是特征p > 0的代数闭域，G是k上的连通约化代数群。在[8]和[11]中，有理G模的维数条件被认为是这类模的半单性。在[8]中，某些条件被推广到了有限Lie型群。本文推广了文[11]中的一些结果，使之适用于这类有限李型群。主要的这种扩展是以下结果。
Let k be an algebraically closed field of characteristic p > 0, and let G be a connected, reductive algebraic group over k. In [8] and [11], conditions on the dimension of rational G modules were seen to imply semisimplicity of these modules. In [8], certain of these conditions were extended to cover the finite groups of Lie type. In this paper, we extend some of the results of [11] to cover these finite Lie type groups. The main such extension is the following result.