Given a subgroup H of a finite group G,and a representation π of H,there is an induced representation π G of G. Mackey theory is concerned with intertwining operators between a pair of induced representations. If these representations are induced from subgroups H1 and H2, the intertwining operators are parametrized in a computable way by double cosets. A special case is when one of the subgroups H ί is G itself — in these cases, Mackey theory reduces to Frobenius reciprocity.
KeywordsAbelian Group Finite Group Double Coset Coset Representative Ground Field
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