2x2 Matrix Representation Forms and Inner Relationships of Split Quaternions

被引：0

作者：

Ni, Qiu-Ying ^{[1
,2
]}

Ding, Jin-Kou ^{[2
]}

Cheng, Xue-Han ^{[3
]}

Jiao, Ying-Nan ^{[4
]}

机构：

[1] Beijing Univ Posts & Telecommun, State Key Lab Networking & Switching Technol, Beijing, Peoples R China

[2] Beijing Univ Posts & Telecommun, Sch Sci, Beijing 100876, Peoples R China

[3] Ludong Univ, Sch Math & Stat Sci, Yantai 264025, Peoples R China

[4] Natl Comp Network & Informat Secur Adm Ctr, Beijing 100031, Peoples R China

来源：

ADVANCES IN APPLIED CLIFFORD ALGEBRAS | 2019年 / 29卷 / 02期

关键词：

Split quaternions; Isomorphic; Inner relationships; Hamilton quaternions;

D O I：

10.1007/s00006-019-0951-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper proposes a 2x2 real matrix isomorphic representation form of split quaternions and a 2mx2n real matrix isomorphic representation form of mxn split quaternion matrices. In particular, we highlighted the inner relationships among the existing different 2x2 matrix representation forms of split quaternions. Furthermore, we studied the inner relationships among different 2x2 matrix representation forms of Hamilton quaternions as an application. The forms and relationships discussed in this paper can simplify the computation and make split quaternions get extensive applications.

引用

页数：12

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