Adjoint representations for SU(2), su(2) and sl(2)
This work, presents four kinds of adjoint representations for the special unitary matrix Lie group SU(2) and the special unitary, special linear matrix Lie algebras su(2) and sl(2). In the first two we assume the vector spaces as the matrix Lie algebras su(2) and sl(2), later cases obtained by explo...
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Al-Mustansiriyah University
2017-07-01
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| Series: | Mustansiriyah Journal of Science |
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| Online Access: | http://mjs.uomustansiriyah.edu.iq/ojs1/index.php/MJS/article/view/171 |
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doaj-de87b826c3b84d8ca08d83f843a33d7c2020-11-24T22:57:48ZaraAl-Mustansiriyah UniversityMustansiriyah Journal of Science1814-635X2521-35202017-07-01275748210.23851/mjs.v27i5.17144Adjoint representations for SU(2), su(2) and sl(2)Saad Owaid0Zainab Subhi1Department of Mathematics, Faculty of Science, Al-Mustansiriyah University, BaghdadDepartment of Mathematics, Faculty of Science, Al-Mustansiriyah University, BaghdadThis work, presents four kinds of adjoint representations for the special unitary matrix Lie group SU(2) and the special unitary, special linear matrix Lie algebras su(2) and sl(2). In the first two we assume the vector spaces as the matrix Lie algebras su(2) and sl(2), later cases obtained by exploiting the action of su(2) and sl(2) on themselves. Also, we compute their direct sums. The results have been displayed as Tables in a nice form.http://mjs.uomustansiriyah.edu.iq/ojs1/index.php/MJS/article/view/171unitary matrix, SU(2), Lie group, representation theory |
| collection |
DOAJ |
| language |
Arabic |
| format |
Article |
| sources |
DOAJ |
| author |
Saad Owaid Zainab Subhi |
| spellingShingle |
Saad Owaid Zainab Subhi Adjoint representations for SU(2), su(2) and sl(2) Mustansiriyah Journal of Science unitary matrix, SU(2), Lie group, representation theory |
| author_facet |
Saad Owaid Zainab Subhi |
| author_sort |
Saad Owaid |
| title |
Adjoint representations for SU(2), su(2) and sl(2) |
| title_short |
Adjoint representations for SU(2), su(2) and sl(2) |
| title_full |
Adjoint representations for SU(2), su(2) and sl(2) |
| title_fullStr |
Adjoint representations for SU(2), su(2) and sl(2) |
| title_full_unstemmed |
Adjoint representations for SU(2), su(2) and sl(2) |
| title_sort |
adjoint representations for su(2), su(2) and sl(2) |
| publisher |
Al-Mustansiriyah University |
| series |
Mustansiriyah Journal of Science |
| issn |
1814-635X 2521-3520 |
| publishDate |
2017-07-01 |
| description |
This work, presents four kinds of adjoint representations for the special unitary matrix Lie group SU(2) and the special unitary, special linear matrix Lie algebras su(2) and sl(2). In the first two we assume the vector spaces as the matrix Lie algebras su(2) and sl(2), later cases obtained by exploiting the action of su(2) and sl(2) on themselves. Also, we compute their direct sums. The results have been displayed as Tables in a nice form. |
| topic |
unitary matrix, SU(2), Lie group, representation theory |
| url |
http://mjs.uomustansiriyah.edu.iq/ojs1/index.php/MJS/article/view/171 |
| work_keys_str_mv |
AT saadowaid adjointrepresentationsforsu2su2andsl2 AT zainabsubhi adjointrepresentationsforsu2su2andsl2 |
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1725649053618798592 |