The Racah algebra for groups with time reversal symmetry
The elements of the Racah algebra for a general compact group with time reversal symmetry are developed. As time reversal is antilinear it is not possible to treat these groups by representation theory but we may instead use Wigner's theory of corepresentations. The results we obtain often para...
| Main Authors: | , |
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| Format: | Article |
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1981
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| Online Access: | http://psasir.upm.edu.my/id/eprint/116225/ |
| _version_ | 1848866953363456000 |
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| author | Newmarch, J. D. Golding, R. M. |
| author_facet | Newmarch, J. D. Golding, R. M. |
| author_sort | Newmarch, J. D. |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | The elements of the Racah algebra for a general compact group with time reversal symmetry are developed. As time reversal is antilinear it is not possible to treat these groups by representation theory but we may instead use Wigner's theory of corepresentations. The results we obtain often parallel those for linear groups but there are some important divergences. We illustrate these with the grey double point groups. © 1981 American Institute of Physics. |
| first_indexed | 2025-11-15T14:28:47Z |
| format | Article |
| id | upm-116225 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-15T14:28:47Z |
| publishDate | 1981 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-1162252025-03-21T02:08:29Z http://psasir.upm.edu.my/id/eprint/116225/ The Racah algebra for groups with time reversal symmetry Newmarch, J. D. Golding, R. M. The elements of the Racah algebra for a general compact group with time reversal symmetry are developed. As time reversal is antilinear it is not possible to treat these groups by representation theory but we may instead use Wigner's theory of corepresentations. The results we obtain often parallel those for linear groups but there are some important divergences. We illustrate these with the grey double point groups. © 1981 American Institute of Physics. 1981 Article PeerReviewed Newmarch, J. D. and Golding, R. M. (1981) The Racah algebra for groups with time reversal symmetry. Journal of Mathematical Physics, 22 (2). pp. 233-244. ISSN 0022-2488; eISSN: 0022-2488 https://pubs.aip.org/jmp/article/22/2/233/225897/The-Racah-algebra-for-groups-with-time-reversal 10.1063/1.524894 |
| spellingShingle | Newmarch, J. D. Golding, R. M. The Racah algebra for groups with time reversal symmetry |
| title | The Racah algebra for groups with time reversal symmetry |
| title_full | The Racah algebra for groups with time reversal symmetry |
| title_fullStr | The Racah algebra for groups with time reversal symmetry |
| title_full_unstemmed | The Racah algebra for groups with time reversal symmetry |
| title_short | The Racah algebra for groups with time reversal symmetry |
| title_sort | racah algebra for groups with time reversal symmetry |
| url | http://psasir.upm.edu.my/id/eprint/116225/ http://psasir.upm.edu.my/id/eprint/116225/ http://psasir.upm.edu.my/id/eprint/116225/ |