Intertwining operators and unitary representations. I
The problem of classifying the irreducible unitary representations of a semisimple Lie group G comes down to finding out whether some intertwining operators are semidefinite. In their preceding five works the authors have introduced some formulas to solve the latter problem and have used them for classifying UIR's in certain cases: SU(N,2), some other groups of real rank two, Langlands quotients obtained from maximal parabolic subgroups. But in these works there were no proofs of the formulas. In the paper reviewed the authors give the derivations of these formulas - when G has a compact Cartan subgroup.
scientific article; zbMATH DE number 4118627
scientific article