2016/09/08 by Din, Alexander Yom
#FOS: Mathematics #Representation Theory (math.RT)
paper · doi:10.48550/arxiv.1609.02523
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.