The Racah algebra for groups with time reversal symmetry

The elements of the Racah algebra for a general compact group with time reversal symmetry are developed. As time reversal is antilinear it is not possible to treat these groups by representation theory but we may instead use Wigner’s theory of corepresentations. The results we obtain often parallel...

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Bibliographic Details
Published in:Journal of mathematical physics 1981-02, Vol.22 (2), p.233-244
Main Authors: Newmarch, J. D., Golding, R. M.
Format: Article
Language:English
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Summary:The elements of the Racah algebra for a general compact group with time reversal symmetry are developed. As time reversal is antilinear it is not possible to treat these groups by representation theory but we may instead use Wigner’s theory of corepresentations. The results we obtain often parallel those for linear groups but there are some important divergences. We illustrate these with the grey double point groups.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.524894