| n维M"obius变换的正则性 |
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| 引用本文： | 王仙桃,蒋月评. n维M"obius变换的正则性[J]. 数学学报, 2000, 43(2) |
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| 作者姓名： | 王仙桃 蒋月评 |
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| 作者单位： | 湖南大学应用数学系湖南长沙 410082 |
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| 基金项目： | 国家自然科学基金，湖南省科研项目 |
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| 摘 要： | 本文利用高维M"obius变换的Clifford矩阵表示,讨论了高维M"obius变换的正则性,证明了三维抛物M"obius变换一定是正则的,得到了三维非抛物M"obius变换是正则的一条充要条件;同时举例说明上述充要条件在 SL(2,n) (n=2k,k 2)中不成立.
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| 关 键 词： | M" obius变换 Clifford矩阵 正则性 |
Regularity of n Dimensional M"obius Transformations |
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| WANG Xian-tao,IANG Yue-ping. Regularity of n Dimensional M"obius Transformations[J]. Acta Mathematica Sinica, 2000, 43(2) |
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| Authors: | WANG Xian-tao IANG Yue-ping |
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| Abstract: | In this paper, by using the Clifford matrixrepresentation of higher dimensional M"obius transformations, wediscuss the regularity of n dimensional M"obius transformations. Weprove that each three dimensional parabolic M"obius transformation isregular. Also we obtain a necessary and sufficient condition for threedimensional nonparabolic M"obius transformations to be regular. In theend, we construct an example to show that the above necessary andsufficient condition does not hold in SL(2,n) when n=2k, k2. |
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| Keywords: | M" obius transformations Clifford matrix Regularity |
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