矩阵群嵌入与新Jφrgensen不等式

论文片段—s不等式论文四元数双曲空间论文离散论文嵌入论文摘要4-5Abstract5-71Backgroundandourresult7-111.1Relatedresultsandsomebackground7-91.2Ourmainresult9-112QuaternionsandQuaternionichyperbopcspace11-232.1NotationsandquatJΦrgensens不等式论文,四元数双曲空间论文,离散论文,嵌入论文,
摘要：的主要目的是在嵌入嵌入SL(2,C)到PSO(1.3)SL(2,C)上的J(?)rgensen's不等式毕业设计论文总结。了一个由两个生成元,其中一个是斜驶元素所生成的非初等的等距子群的离散准则毕业论文格式要求。全文的安排如下：章,了J(?)rgensen's不等式问题的背景和的主要写论文。章,介绍一些四元数知识、四元数双曲模型、等距元素的分类和交比。章,介绍极限球坐标及Heisenberg群本科毕业论文模板。章,着手建立矩阵群上的J(?)rgensen's不等式论文格式范文。,用的结果和其他类似的结果了比较大学论文格式范文。关键词：JΦrgensen's不等式论文四元数双曲空间论文离散论文嵌入论文
摘要4-5
Abstract5-7
1 Background and our result7-11
1.1 Related results and some background7-9

1.2 Our main result9-11

2 Quaternions and Quaternionic hyperbopc space11-23
2.1 Notations and quaternionic matrix11-15
2.2 The models of Quaternionic hyperbopc space15-19

2.3 The classification of isometries19-20

2.4 The cross-ratio20-23

3 The boundary23-29
3.1 The equations concerning entries of an isometry23-25

3.2 Horospherical coordinate25-29

4 A new J(?)rgensen's inequapty obtained by embedding of matrix groups29-35

4.1 Prepminaries29-31

4.2 The embedding of S L(2,C)into S p(3,1)31-33
4.3 The proof of the main theorem and Corollary

1.

2.133-34

4.4 Comparisons34-35 References35-37
附录37-39
致谢39