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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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Main Author: Newmarch, J.O.
Format: Article
Published: AIP Publishing 1983
Online Access:http://psasir.upm.edu.my/id/eprint/115083/
https://pubs.aip.org/jmp/article/24/4/742/226648/Some-character-theory-for-groups-of-linear-and
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spelling my.upm.eprints.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
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
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.
format Article
author Newmarch, J.O.
spellingShingle Newmarch, J.O.
Some character theory for groups of linear and antilinear operators
author_facet Newmarch, J.O.
author_sort Newmarch, J.O.
title Some character theory for groups of linear and antilinear operators
title_short 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_sort some character theory for groups of linear and antilinear operators
publisher AIP Publishing
publishDate 1983
url http://psasir.upm.edu.my/id/eprint/115083/
https://pubs.aip.org/jmp/article/24/4/742/226648/Some-character-theory-for-groups-of-linear-and
_version_ 1825162429916512256
score 13.244413

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