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...

Full description

Saved in:
Bibliographic Details
Published in:Journal of mathematical physics 1983-04, Vol.24 (4), p.742-756
Main Author: Newmarch, J. D.
Format: Article
Language:English
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.525790