Jambura Journal of Mathematics
Vol 4, No 1: January 2022

The Commutation Matrices of Elements in Kronecker Quaternion Groups

Yanita Yanita (Department of Mathematics, Faculty of Mathematic and Natural Science, Andalas University, Kampus Unand Limau Manis, Padang 25163,)
Eka Purwanti (Department of Mathematics, Faculty of Mathematic and Natural Science, Andalas University, Kampus Unand Limau Manis, Padang 25163,)
Lyra Yulianti (Department of Mathematics, Faculty of Mathematic and Natural Science, Andalas University, Kampus Unand Limau Manis, Padang 25163,)

Article Info

Publish Date
01 Jan 2022

Abstract

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.

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Journal Info
Jambura Journal of Mathematics
Website

Abbrev

jjom

Publisher

Universitas Negeri Gorontalo

Subject

Mathematics

Description

Jambura Journal of Mathematics (JJoM) is a peer-reviewed journal published by Department of Mathematics, State University of Gorontalo. This journal is available in print and online and highly respects the publication ethic and avoids any type of plagiarism. JJoM is intended as a communication forum ...