The Commutation Matrices of Elements in Kronecker Quaternion Groups

Jambura Journal of Mathematics

Eka Purwanti¹  Lyra Yulianti¹  Yanita Yanita¹ 

[1] Department of Mathematics, Faculty of Mathematic and Natural Science, Andalas University,Kampus Unand Limau Manis, Padang 25163,;

关键词: kronecker quaternion group;    permutation matrix;    commutation matrix;    vec matrix;   

DOI  :  10.34312/jjom.v4i1.12004

来源: DOAJ

【 摘 要 】

This article discusses the commutation matrix in the Kronecker quaternion group; that is, a non-abelian group whose 32 elements are matrices of 4 × 4 size, with entries in the set of complex numbers. The purpose of this paper is to describe the commutation matrices obtained in relation to the matrices in this group. The commutation matrix is a permutation matrix that associates the relationship between the vec and vec of the transpose matrix. Based on the classification of matrices in the Kronecker quaternion group, there are 16 classification of commutation matrices for the matrices in this group.

【 授权许可】

Unknown