Lie groups locally isomorphic to generalized Heisenberg groups

被引：7

作者：

Tamaru, Hiroshi ^{[1
]}

Yoshida, Hisashi

机构：

[1] Hiroshima Univ, Dept Math, Higashihiroshima 7398526, Japan

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2008年 / 136卷 / 09期

关键词：

generalized Heisenberg groups; automorphism groups; local isomorphisms of Lie groups;

D O I：

10.1090/S0002-9939-08-09489-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We classify connected Lie groups which are locally isomorphic to generalized Heisenberg groups. For a given generalized Heisenberg group N, there is a one-to-one correspondence between the set of isomorphism classes of connected Lie groups which are locally isomorphic to N and a union of certain quotients of noncompact Riemannian symmetric spaces.

引用

页码：3247 / 3254

页数：8