2× 2 Matrix Representation Forms and Inner Relationships of Split Quaternions
Advances in Applied Clifford Algebras(2019)
摘要
This paper proposes a 2× 2 real matrix isomorphic representation form of split quaternions and a 2m× 2n real matrix isomorphic representation form of m× n split quaternion matrices. In particular, we highlighted the inner relationships among the existing different 2× 2 matrix representation forms of split quaternions. Furthermore, we studied the inner relationships among different 2× 2 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.
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关键词
Split quaternions,Isomorphic,Inner relationships,Hamilton quaternions
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