A converse to the Second Whitehead Lemma

被引：0
|
作者：
Zusmanovich, Pasha
机构：
来源：
JOURNAL OF LIE THEORY | 2008年 / 18卷 / 02期
关键词：
Second Whitehead Lemma;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we state and prove the following version of a converse to the Second Whitehead Lemma: A finite-dimensional Lie algebra over a field of characteristic zero with vanishing second cohomology in any finite-dimensional module must be one of the following: (i) a one-dimensional algebra; (ii) a semisimple algebra; (iii) the direct sum of a semisimple algebra and a one-dimensional algebra.
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页码：295 / 299
页数：5
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