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Journal of Mathematical Physics / Volume 22 / Issue 1

J. Math. Phys. 22, 7 (1981); http://dx.doi.org/10.1063/1.524757 (8 pages)

On the existence of real Clebsch–Gordan coefficients

Ture Damhus

Chemistry Department I, H.C. Örsted Institute, Universitetsparken 5, DK‐2100 Copenhagen Ö, Denmark

The question of the possible general existence of real Clebsch–Gordan coefficients (coupling coefficients) for compact groups is considered. Criteria are established for a group to be susceptible to the classical rotation group approach in which a choice of standard irreducible matrix representations is made such that there is a fixed inner automorphism of the group carrying all standard representations into their complex conjugate. In connection with a generalization of this approach the concept of quasi‐ambivalence of a group is shown to be relevant.

KEYWORDS and PACS

Keywords

IRREDUCIBLE REPRESENTATION, CLEBSCH−GORDAN COEFFICIENTS, GROUP THEORY

PACS

ARTICLE DATA

Digital Object Identifier
http://dx.doi.org/10.1063/1.524757

PUBLICATION DATA

ISSN

0022-2488 (print)  
1089-7658 (online)

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