Double groups: Some abstract properties and representations for the practitioner

Harald P. Fritzer

Physica A: Statistical Mechanics and its Applications, 1982, vol. 114, issue 1, 477-481

Abstract: The relationship between the crystallographic double groups and their corresponding single groups or point groups is normally based on the subgroups using the homomorphism: SU(2) → SO(3). Here it is shown how use of certain properties of the inverse image together with a period-splitting process applied to the elements, classes and subgroups of the “starting” group gives deeper insight into the structure of the resulting double group. A better understanding of Opechowski's rules follows. The polyhedral groups are used as examples.

Date: 1982
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/0378437182903363
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:114:y:1982:i:1:p:477-481

DOI: 10.1016/0378-4371(82)90336-3

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().