Abstract
The algebra of vector coupling coefficients as developed by Wigner for simply reducible groups, and by Racah for the groups appropriate to fractional parentage, has found extensive applications in many areas of the physics and chemistry. We review the generalization of Wigner’s original treatment of simply reducible groups. For compact groups the generalization is now known to be a straightforward inclusion of multiplicity labels and complex conjugation labels.
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Butler, P.H. (1980). The Wigner-Racah Algebra for Finite and Compact Continuous Groups. In: Gruber, B., Millman, R.S. (eds) Symmetries in Science. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-3833-8_7
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DOI: https://doi.org/10.1007/978-1-4684-3833-8_7
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