On the 3 j symmetries

The symmetry properties of the 3jm tensor for any finite or compact linear group are discussed using a wreath product construction. This is shown to provide a complete group theoretic explanation for all symmetry properties whether ‘‘essential’’ or ‘‘arbitrary.’’ The link with the similar—but distin...

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Bibliographic Details
Published in:Journal of mathematical physics 1983-04, Vol.24 (4), p.757-764
Main Author: Newmarch, J. D.
Format: Article
Language:English
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Summary:The symmetry properties of the 3jm tensor for any finite or compact linear group are discussed using a wreath product construction. This is shown to provide a complete group theoretic explanation for all symmetry properties whether ‘‘essential’’ or ‘‘arbitrary.’’ The link with the similar—but distinct—method of inner plethysms is considered.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.525771