On properties of the Casselman-Jacquet functor
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.
- Publication:
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arXiv e-prints
- Pub Date:
- September 2016
- DOI:
- 10.48550/arXiv.1609.02523
- arXiv:
- arXiv:1609.02523
- Bibcode:
- 2016arXiv160902523Y
- Keywords:
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- Mathematics - Representation Theory
- E-Print:
- PhD thesis