The Commutation Matrices of Elements in Kronecker Quaternion Groups
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 matric...
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| Format: | Article |
| Language: | English |
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Department of Mathematics, Universitas Negeri Gorontalo
2022-01-01
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| Series: | Jambura Journal of Mathematics |
| Subjects: | |
| Online Access: | https://ejurnal.ung.ac.id/index.php/jjom/article/view/12004 |
| _version_ | 1828349446232997888 |
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| author | Yanita Yanita Eka Purwanti Lyra Yulianti |
| author_facet | Yanita Yanita Eka Purwanti Lyra Yulianti |
| author_sort | Yanita Yanita |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-14T01:09:41Z |
| format | Article |
| id | doaj.art-c81e0bbcca5548a99d670ca39ebde169 |
| institution | Directory Open Access Journal |
| issn | 2654-5616 2656-1344 |
| language | English |
| last_indexed | 2024-04-14T01:09:41Z |
| publishDate | 2022-01-01 |
| publisher | Department of Mathematics, Universitas Negeri Gorontalo |
| record_format | Article |
| series | Jambura Journal of Mathematics |
| spelling | doaj.art-c81e0bbcca5548a99d670ca39ebde1692022-12-22T02:21:08ZengDepartment of Mathematics, Universitas Negeri GorontaloJambura Journal of Mathematics2654-56162656-13442022-01-014113514410.34312/jjom.v4i1.120043471The Commutation Matrices of Elements in Kronecker Quaternion GroupsYanita Yanita0Eka Purwanti1Lyra Yulianti2Department of Mathematics, Faculty of Mathematic and Natural Science, Andalas University, Kampus Unand Limau Manis, Padang 25163,Department of Mathematics, Faculty of Mathematic and Natural Science, Andalas University, Kampus Unand Limau Manis, Padang 25163,Department of Mathematics, Faculty of Mathematic and Natural Science, Andalas University, Kampus Unand Limau Manis, Padang 25163,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.https://ejurnal.ung.ac.id/index.php/jjom/article/view/12004kronecker quaternion grouppermutation matrixcommutation matrixvec matrix |
| spellingShingle | Yanita Yanita Eka Purwanti Lyra Yulianti The Commutation Matrices of Elements in Kronecker Quaternion Groups Jambura Journal of Mathematics kronecker quaternion group permutation matrix commutation matrix vec matrix |
| title | The Commutation Matrices of Elements in Kronecker Quaternion Groups |
| title_full | The Commutation Matrices of Elements in Kronecker Quaternion Groups |
| title_fullStr | The Commutation Matrices of Elements in Kronecker Quaternion Groups |
| title_full_unstemmed | The Commutation Matrices of Elements in Kronecker Quaternion Groups |
| title_short | The Commutation Matrices of Elements in Kronecker Quaternion Groups |
| title_sort | commutation matrices of elements in kronecker quaternion groups |
| topic | kronecker quaternion group permutation matrix commutation matrix vec matrix |
| url | https://ejurnal.ung.ac.id/index.php/jjom/article/view/12004 |
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