Second adjointness for tempered admissible representations of a real group
Representation Theory
2020-03-10 v3
Abstract
We study second adjointness in the context of tempered admissible representations of a real reductive group. Compared to a recent result of Crisp and Higson, this generalizes from to a general group, but specializes to only considering admissible representations. We also discuss Casselman's canonical pairing in this context, and the relation to Bernstein morphisms. Additionally, we take the opportunity to discuss some relevant functors and some of their relations.
Keywords
Cite
@article{arxiv.1903.00582,
title = {Second adjointness for tempered admissible representations of a real group},
author = {Alexander Yom Din},
journal= {arXiv preprint arXiv:1903.00582},
year = {2020}
}
Comments
This version: Expositional changes, mainly the addition of proofs of some lemmas