The Groups of Two by Two Matrices in Double and Dual Numbers, and Associated Mobius Transformations

被引：4

作者：

Mustafa, Khawlah A. ^{[1
,2
]}

机构：

[1] Univ Leeds, Sch Math, Leeds, W Yorkshire, England

[2] Univ Kirkuk, Sch Sci, Kirkuk, Iraq

来源：

ADVANCES IN APPLIED CLIFFORD ALGEBRAS | 2018年 / 28卷 / 05期

关键词：

Projective lines; General linear group; One-parameter subgroups; REPRESENTATIONS;

D O I：

10.1007/s00006-018-0910-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Mobius transformations have been studied over the field of complex numbers. In this paper, we investigate Mobius transformations over two rings which are not fields: the ring of double numbers and the ring of dual numbers. We give types of continuous one-parameter subgroups of and SL2(D).

引用

页数：25

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