Classical method of constructing a complete set of irreducible representations of semidirect product of a compact group with a finite group

摘要

Let G = U S be a group of semidirect product of U com- pact and S finite. For an irreducible representation (= IR) ρ of U , let S([ρ]) be the stationary subgroup in S of the equivalence class [ρ] ∈ U . Intertwin- ing operators J ρ (s) (s ∈ S([ρ])) between