The Matrix Representations of Centroids for Low-Dimensional Mock-Lie Algebras
Mock-Lie algebras, a unique class of commutative algebras that satisfy the Jacobi identity, are gaining attention for their potential applications in various mathematical contexts. This study presents a matrix representation of the centroid for Mock-Lie algebras in dimensions up to four, offering in...
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| Format: | Article |
| Language: | English |
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Wiley
2024-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2024/9942234 |
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| _version_ | 1832543595175870464 |
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| author | Yue Zhu Keli Zheng |
| author_facet | Yue Zhu Keli Zheng |
| author_sort | Yue Zhu |
| collection | DOAJ |
| description | Mock-Lie algebras, a unique class of commutative algebras that satisfy the Jacobi identity, are gaining attention for their potential applications in various mathematical contexts. This study presents a matrix representation of the centroid for Mock-Lie algebras in dimensions up to four, offering insights into their structure and interactions. By applying the centroid concept and utilizing matrix operations, we explore the relationships between matrix elements, leading to a better understanding of these algebras. Our findings aim to contribute to the growing interest in Mock-Lie algebras and their role within the broader algebraic landscape. |
| format | Article |
| id | doaj-art-bb79a312274645918afdfd2d2eda963b |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2024-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-bb79a312274645918afdfd2d2eda963b2025-02-03T11:38:00ZengWileyJournal of Mathematics2314-47852024-01-01202410.1155/2024/9942234The Matrix Representations of Centroids for Low-Dimensional Mock-Lie AlgebrasYue Zhu0Keli Zheng1Department of MathematicsDepartment of MathematicsMock-Lie algebras, a unique class of commutative algebras that satisfy the Jacobi identity, are gaining attention for their potential applications in various mathematical contexts. This study presents a matrix representation of the centroid for Mock-Lie algebras in dimensions up to four, offering insights into their structure and interactions. By applying the centroid concept and utilizing matrix operations, we explore the relationships between matrix elements, leading to a better understanding of these algebras. Our findings aim to contribute to the growing interest in Mock-Lie algebras and their role within the broader algebraic landscape.http://dx.doi.org/10.1155/2024/9942234 |
| spellingShingle | Yue Zhu Keli Zheng The Matrix Representations of Centroids for Low-Dimensional Mock-Lie Algebras Journal of Mathematics |
| title | The Matrix Representations of Centroids for Low-Dimensional Mock-Lie Algebras |
| title_full | The Matrix Representations of Centroids for Low-Dimensional Mock-Lie Algebras |
| title_fullStr | The Matrix Representations of Centroids for Low-Dimensional Mock-Lie Algebras |
| title_full_unstemmed | The Matrix Representations of Centroids for Low-Dimensional Mock-Lie Algebras |
| title_short | The Matrix Representations of Centroids for Low-Dimensional Mock-Lie Algebras |
| title_sort | matrix representations of centroids for low dimensional mock lie algebras |
| url | http://dx.doi.org/10.1155/2024/9942234 |
| work_keys_str_mv | AT yuezhu thematrixrepresentationsofcentroidsforlowdimensionalmockliealgebras AT kelizheng thematrixrepresentationsofcentroidsforlowdimensionalmockliealgebras AT yuezhu matrixrepresentationsofcentroidsforlowdimensionalmockliealgebras AT kelizheng matrixrepresentationsofcentroidsforlowdimensionalmockliealgebras |