PU(2,1)相对于固定参数特殊椭圆等距的长度

Pub Date : 2020-10-28 DOI:10.1307/mmj/20206013

Felipe de Aguilar Franco

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引用次数: 1

摘要

推广复双曲平面的对合长度，得到了PU(2,1)的α -长度为4，即PU(2,1)的每一个元素都可以分解为最多4个带参数α的特殊椭圆等边的乘积。我们还描述了可以写成2或3个这样的特殊椭圆等距的乘积的等距。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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The Length of PU(2,1) Relative to Special Elliptic Isometries with Fixed Parameter

Generalizing the involution length of the complex hyperbolic plane, we obtain that the α -length of PU(2 , 1) is 4, that is, every element of PU(2 , 1) can be decomposed as the product of at most 4 special elliptic isometries with parameter α . We also describe the isometries that can be written as the product of 2 or 3 such special elliptic isometries.

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