English

On properties of the Casselman-Jacquet functor

Representation Theory 2016-09-09 v1

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.

Keywords

Cite

@article{arxiv.1609.02523,
  title  = {On properties of the Casselman-Jacquet functor},
  author = {Alexander Yom Din},
  journal= {arXiv preprint arXiv:1609.02523},
  year   = {2016}
}

Comments

PhD thesis