Iwasawa's Local Splitting Theorem for pro-Lie groups

被引：3

作者：

Hofmann, Karl H. ^{[1
]}

Morris, Sidney A. ^{[2
]}

机构：

[1] Tech Univ Darmstadt, Fachbereich Math, D-64289 Darmstadt, Germany

[2] Univ Ballarat, Sch Informat Technol & Math Sci, Ballarat, Vic 3353, Australia

来源：

FORUM MATHEMATICUM | 2008年 / 20卷 / 04期

关键词：

D O I：

10.1515/FORUM.2008.031

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

If the nilradical n(g) of the Lie algebra g of a pro-Lie group G is finite dimensional modulo the center z(g), then every identity neighborhood U of G contains a closed normal subgroup N such that G/N is a Lie group and G and N x G/N are locally isomorphic.

引用

页码：607 / 629

页数：23

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