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arXiv · 1609.02523

On properties of the Casselman-Jacquet functor

Alexander Yom Din
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Abstract

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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BibTeXRIS

Alexander Yom Din. 2016-09-08. On properties of the Casselman-Jacquet functor. https://arxiv.org/abs/1609.02523

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