Square integrability of representations on p-adic symmetric spaces
Representation Theory
2009-03-16 v2 Number Theory
Abstract
A symmetric space analogue of Casselman's criterion for square integrability of representations of a p-adic group is established. It is described in terms of exponents of Jacquet modules along parabolic subgroups associated to the symmetric space.
Cite
@article{arxiv.0902.2302,
title = {Square integrability of representations on p-adic symmetric spaces},
author = {Shin-ichi Kato and Keiji Takano},
journal= {arXiv preprint arXiv:0902.2302},
year = {2009}
}
Comments
24 pages; added two lemmas and revised the proof of the main theorem; added one more example; corrected typos