Split quaternion matrices

2012/01/01 by Yasemin Alagöz, Kürşat Hakan Oral, Sali̇m Yüce · 2 citations
Computer Science · Mathematics · #Matrix Theory and Algorithms #Mathematics #Quaternion #Pure mathematics #Algebra over a field #Geometry

paper · pdf · doi:10.18514/mmn.2012.364

openalex publication_date 2012/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/22

Abstract

In this paper, we consider split quaternions and split quaternion matrices. Firstly, we give some properties of split quaternions. After that we investigate split quaternion matrices using properties of complex matrices. Then we define the complex adjoint matrix of split quaternion matrices and we describe some of their properties. Furthermore, we give the definition of q-determinant of split quaternion matrices.

Citations

• Quaternions and matrices of quaternions

Cited by

• Cramer’s Rules for Some Hermitian Coquaternionic Matrix Equations
• Cayley–Hamilton theorem [wikipedia]

Related

• The column and row immanants of matrices over a split quaternion algebra
• Matrix Theory over the Complex Quaternion Algebra
• Quaternionic quasideterminants and determinants
• De- Moivre's and Euler Formulas for Matrices of Split Quaternions
• The quaternionic determinat