| 具有双不变拟Riemann度量的Lie群 |
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| 引用本文： | 冯惠涛.具有双不变拟Riemann度量的Lie群[J].内蒙古大学学报(自然科学版),1992,23(2):144-147. |
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| 作者姓名： | 冯惠涛 |
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| 作者单位： | 内蒙古大学数学系 |
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| 摘 要： | 本文讨论了其有双不变拟Riemann度量的Lie群及其等距变换群的一些性质,证明了:1)具有双不变拟Riemann度量的Lie群的等距变换群一定非单;2)具有双不变拟Riemann度量的Lie群半单的充要条件是其等距变换群半单且非单.
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| 关 键 词： | 对称空间 双不变拟Riemann度量 |
Lie Groups with a Bi-Invariant Pseudo-Riemannian Metric |
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| Feng Huitao.Lie Groups with a Bi-Invariant Pseudo-Riemannian Metric[J].Acta Scientiarum Naturalium Universitatis Neimongol,1992,23(2):144-147. |
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| Authors: | Feng Huitao |
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| Institution: | Feng Huitao Department of Mathematics |
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| Abstract: | In this paper,the properties of Lie groups with a bi-invariant pseudo-Riemannian metric and their iso- metric transformation groups are discussed.It is proved that:1)Isometric transformation groups of Lie groups with bi-invariant pseudo-Riemannian metrics are non-simple.2)Lie group U with a bi-invariant pseu- do-Riemannian metric is semisimple if and only if its isometric transformation group is semisimple and non- simple. |
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| Keywords: | symmetric space bi-invariant pseudo-Riemannian metric |
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