Cohomological Induction on Generalized G-Modules to Infinite Dimensional Representations

Francisco Bulnes


Extensions and globalizations of Harish-Chandra modules are used to obtain a representation theory that includes the cases of non-compact type of irreducible representations studied in the Vogan program. To it, is extended an infinitesimal character of anti-dominant weight lL + r(u),  of a representation Hp, qc(X, n), with defined for n--G/L.  In this process, are obtained some generalized versions of G-modules to the use of differentiable cohomologies.

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