On properties of the Casselman-Jacquet functor
classification
🧮 math.RT
keywords
functorcasselman-jacquetadjointappearingapplyingapproachbernsteinbruhat
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In this thesis, we study the Casselman-Jacquet functor. We discuss a new technical approach which makes the Casselman-Jacquet functor right adjoint to the Bernstein functor. We give an explanation, using D-modules, of the Bruhat filtration appearing on the module obtained by applying the Casselman-Jacquet functor to a principal series representation. We record some conjectures.
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