DECOMPOSITIONS OF REDUCTIVE LIE GROUPS

DECOMPOSITIONS OF REDUCTIVE LIE GROUPS
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还原李群的分解

DOI:
10.1070/sm1969v009n04abeh001292
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发表时间:
1969
期刊:
Mathematics of The Ussr-sbornik
影响因子:
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通讯作者:
A. Oniščik
A. Oniščik
中科院分区:
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文献类型:
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作者:
A. Oniščik

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相似文献

本文研究了约化李群G的分解G = G 'G到李群G'与G的乘积的问题。当G'和G在G中是约化的,或G是单的且G'和G是极大的时,这种分解是完全刻划的.结果被应用到复齐性空间的分类。书目:21种。
In this work we study decompositions G = G'G of reductive Lie groups G into the product of Lie subgroups G' and G. Such decompositions are fully described in case G' and G are reductive in G, or G is simple and G' and G are maximal. The results are applied to the classification of complex homogeneous spaces. Bibliography: 21 titles.