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Phase-fixed double-group 3-Γ symbols. IV. Real 3-Γ symbols and coupling coefficients for the group hierarchies T* ⊃ C 3 * and T* ⊃ C 2 *
Authors:Ture Damhus  Sven E. Harnung  Claus E. Schäffer
Affiliation:(1) Chemistry Department I, H. C. Ørsted Institute, University of Copenhagen, Universitetsparken 5, DK-2100 Copenhagen Ø, Denmark;(2) Present address: Department of Pharmaceutical Chemistry AD, Royal Danish School of Pharmacy, Universitetsparken 2, DK-2100 Copenhagen Ø, Denmark
Abstract:We present sets of real 3-Gamma symbols which correspond to explicitly given irreducible matrix representations for the two double group hierarchies T* sup C3*and T* sup C2*. They fit into the formalism exposed in a previous paper [1] on the general theory of 3-Gamma symbols and coupling coefficients and illustrate much of the discussion in a subsequent one [2] treating the particular properties of the double groups.
Keywords:tetrahedral double group  real phase-fixed three-gamma symbols and coupling coefficients  standard irreducible matrix representations  complex conjugation of matrix representations by outer automorphism
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