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Now in paperback, this graduate-level textbook introduces the representation theory of semi-simple Lie groups.
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…
This memoir examines the basic problem of finding vanishing theorems for Harish-Chandra modules. The results of these difficult problems contribute in a meaningful way to the singular unitary representation theory of reductive groups.