An example on computing the irreducible representation of finite metacyclic groups by using great orthogonality theorem method
Representation theory is a study of real realizations of the axiomatic systems of abstract algebra. For any group, the number of possible representative sets of matrices is infinite, but they can all be reduced to a single fundamental set, called the irreducible representations of the group. This pa...
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my.utm.500002018-10-14T08:26:45Z http://eprints.utm.my/id/eprint/50000/ An example on computing the irreducible representation of finite metacyclic groups by using great orthogonality theorem method Samin, Nizar Majeed Sarmin, Nor Haniza Rahmat, Hamisan QA Mathematics Representation theory is a study of real realizations of the axiomatic systems of abstract algebra. For any group, the number of possible representative sets of matrices is infinite, but they can all be reduced to a single fundamental set, called the irreducible representations of the group. This paper focuses on an example of finite metacyclic groups of class two of order 16. The irreducible representation of that group is found by using Great Orthogonality Theorem Method Penerbit UTM 2013 Article PeerReviewed application/pdf en http://eprints.utm.my/id/eprint/50000/1/NorHanizaSarmin2013_Anexampleoncomputing.pdf Samin, Nizar Majeed and Sarmin, Nor Haniza and Rahmat, Hamisan (2013) An example on computing the irreducible representation of finite metacyclic groups by using great orthogonality theorem method. Jurnal Teknologi (Sciences and Engineering), 64 (1). pp. 89-92. ISSN 0127-9696 https://dx.doi.org/10.11113/jt.v64.1730 DOI: 10.11113/jt.v64.1730 |
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QA Mathematics Samin, Nizar Majeed Sarmin, Nor Haniza Rahmat, Hamisan An example on computing the irreducible representation of finite metacyclic groups by using great orthogonality theorem method |
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Representation theory is a study of real realizations of the axiomatic systems of abstract algebra. For any group, the number of possible representative sets of matrices is infinite, but they can all be reduced to a single fundamental set, called the irreducible representations of the group. This paper focuses on an example of finite metacyclic groups of class two of order 16. The irreducible representation of that group is found by using Great Orthogonality Theorem Method |
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Article |
author |
Samin, Nizar Majeed Sarmin, Nor Haniza Rahmat, Hamisan |
author_facet |
Samin, Nizar Majeed Sarmin, Nor Haniza Rahmat, Hamisan |
author_sort |
Samin, Nizar Majeed |
title |
An example on computing the irreducible representation of finite metacyclic groups by using great orthogonality theorem method |
title_short |
An example on computing the irreducible representation of finite metacyclic groups by using great orthogonality theorem method |
title_full |
An example on computing the irreducible representation of finite metacyclic groups by using great orthogonality theorem method |
title_fullStr |
An example on computing the irreducible representation of finite metacyclic groups by using great orthogonality theorem method |
title_full_unstemmed |
An example on computing the irreducible representation of finite metacyclic groups by using great orthogonality theorem method |
title_sort |
example on computing the irreducible representation of finite metacyclic groups by using great orthogonality theorem method |
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Penerbit UTM |
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2013 |
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http://eprints.utm.my/id/eprint/50000/1/NorHanizaSarmin2013_Anexampleoncomputing.pdf http://eprints.utm.my/id/eprint/50000/ https://dx.doi.org/10.11113/jt.v64.1730 |
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