On the classification and enumeration of the irreducible co-representations of magnetic space groups

Angelova Turkedjieva, Maia and Boyle, L. L. 1996, On the classification and enumeration of the irreducible co-representations of magnetic space groups, Journal of physics a: mathematical and general, vol. 29, no. 5, pp. 993-1010, doi: 10.1088/0305-4470/29/5/014.

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Title On the classification and enumeration of the irreducible co-representations of magnetic space groups
Author(s) Angelova Turkedjieva, MaiaORCID iD for Angelova Turkedjieva, Maia orcid.org/0000-0002-0931-0916
Boyle, L. L.
Journal name Journal of physics a: mathematical and general
Volume number 29
Issue number 5
Start page 993
End page 1010
Total pages 18
Publisher IOP Publishing
Place of publication Bristol, Eng.
Publication date 1996
ISSN 0305-4470
Keyword(s) Science & Technology
Physical Sciences
Physics, Multidisciplinary
Physics, Mathematical
Physics
Summary A generalization of Wintgen's method for classifying space-group representations is made to enable the infinite set of co-representations of magnetic space groups to be classified and enumerated. Using this method, all special points, lines and planes in the Brillouin zone model for magnetic crystals are identified. Arithmetic crystal-classes of magnetic space groups are introduced, fully listed and used to classify magnetic space groups and their co-representations. A version of Burnside's theorem adapted to co-representations is constructed and used to solve completely the enumeration problem of co-representations of magnetic space groups. © 1996 IOP Publishing Ltd.
Language eng
DOI 10.1088/0305-4470/29/5/014
Field of Research 01 Mathematical Sciences
02 Physical Sciences
HERDC Research category C1.1 Refereed article in a scholarly journal
Copyright notice ©1996, IOP Publishing
Persistent URL http://hdl.handle.net/10536/DRO/DU:30116345

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