Some character theory for groups of linear and antilinear operators
Elementary group concepts are recast into a form applicable to finite magnetic groups of linear and antilinear operators. Analogs of useful definitions for linear groups such as the Frobenius-Schur invariant, commutator subgroups, and ambivalent classes are considered. These are applied to the 180 m...
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| Format: | Article |
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AIP Publishing
1983
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| Online Access: | http://psasir.upm.edu.my/id/eprint/115083/ |
| _version_ | 1848866680352014336 |
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| author | Newmarch, J.O. |
| author_facet | Newmarch, J.O. |
| author_sort | Newmarch, J.O. |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | Elementary group concepts are recast into a form applicable to finite magnetic groups of linear and antilinear operators. Analogs of useful definitions for linear groups such as the Frobenius-Schur invariant, commutator subgroups, and ambivalent classes are considered. These are applied to the 180 magnetic single and double point groups and it is shown that only seven require independent treatment of characters. |
| first_indexed | 2025-11-15T14:24:27Z |
| format | Article |
| id | upm-115083 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-15T14:24:27Z |
| publishDate | 1983 |
| publisher | AIP Publishing |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-1150832025-02-19T07:08:34Z http://psasir.upm.edu.my/id/eprint/115083/ Some character theory for groups of linear and antilinear operators Newmarch, J.O. Elementary group concepts are recast into a form applicable to finite magnetic groups of linear and antilinear operators. Analogs of useful definitions for linear groups such as the Frobenius-Schur invariant, commutator subgroups, and ambivalent classes are considered. These are applied to the 180 magnetic single and double point groups and it is shown that only seven require independent treatment of characters. AIP Publishing 1983-04 Article PeerReviewed Newmarch, J.O. (1983) Some character theory for groups of linear and antilinear operators. Journal of Mathematical Physics, 24 (4). pp. 742-756. ISSN 0022-2488; eISSN: 0022-2488 https://pubs.aip.org/jmp/article/24/4/742/226648/Some-character-theory-for-groups-of-linear-and 10.1063/1.525790 |
| spellingShingle | Newmarch, J.O. Some character theory for groups of linear and antilinear operators |
| title | Some character theory for groups of linear and antilinear operators |
| title_full | Some character theory for groups of linear and antilinear operators |
| title_fullStr | Some character theory for groups of linear and antilinear operators |
| title_full_unstemmed | Some character theory for groups of linear and antilinear operators |
| title_short | Some character theory for groups of linear and antilinear operators |
| title_sort | some character theory for groups of linear and antilinear operators |
| url | http://psasir.upm.edu.my/id/eprint/115083/ http://psasir.upm.edu.my/id/eprint/115083/ http://psasir.upm.edu.my/id/eprint/115083/ |