On the symmetries of the 6 j symbol

The 6j tensor for compact groups is shown to transform as a basis vector for the identity representation of the permutation group S4. This allows character theory to be used to determine the minimum number of independent components and a projection operator to determine the relations between compone...

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Bibliographic Details
Published in:Journal of mathematical physics 1983-03, Vol.24 (3), p.451-456
Main Author: Newmarch, J. D.
Format: Article
Language:English
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Summary:The 6j tensor for compact groups is shown to transform as a basis vector for the identity representation of the permutation group S4. This allows character theory to be used to determine the minimum number of independent components and a projection operator to determine the relations between components—the symmetry properties.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.525741