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All the irreducible unitary representations are found, in an explicit way, for the maximal parabolic subgroups in the various classical series of real and complex Lie groups. In each case, the nilradical is similar to the Heisenberg group, and its representations come out of the…
In "The Action of a Real Semisimple Lie group on a Complex Flag Manifold, I: Orbit Structure and Holomorphic Arc Components" we decomposed a complex flag manifold under the action of a real Lie group. At the end of the introduction, we described a program for using the real grou…
