Why and when are Clebsch-Gordan coefficients real
Conference
·
OSTI ID:5988906
In applications in physics and chemistry the Clebsch-Gordan coefficients, which reduce the Kronecker product of irreducible representations, are defined over the field of complex numbers and have no birthright to be real. We present a necessary and sufficient condition for reality in the case of compact groups. The condition involves a simple generalization of the Frobenius-Schur invariant and is associated with involute-group automorphisms. Examples are presented of groups which satisfy the condition and also of ones which fall.
- Research Organization:
- Washington Univ., Seattle (USA). Inst. for Nuclear Theory; Copenhagen Univ. (Denmark). H.C. Oersted Inst.
- DOE Contract Number:
- AC06-81ER40048
- OSTI ID:
- 5988906
- Report Number(s):
- DOE/ER/40048-08-N4; CONF-8405168-4; ON: DE85007813
- Resource Relation:
- Conference: International colloquium on group theoretical methods in physics, College Park, MD, USA, 21 May 1984; Other Information: Portions are illegible in microfiche products
- Country of Publication:
- United States
- Language:
- English
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