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Some character theory for groups of linear and antilinear operators


Citation

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

Abstract

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.


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Additional Metadata

Item Type: Article
Divisions: Universiti Pertanian Malaysia
DOI Number: https://doi.org/10.1063/1.525790
Publisher: AIP Publishing
Keywords: Group theory; Generalized characters; Finite magnetic groups; Frobenius-schur invariant; Ambivalent class; Commutator subgroup
Depositing User: Mohamad Jefri Mohamed Fauzi
Date Deposited: 19 Feb 2025 07:08
Last Modified: 19 Feb 2025 07:08
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1063/1.525790
URI: http://psasir.upm.edu.my/id/eprint/115083
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