Subrepresentation Theorem for p-adic Symmetric Spaces
Representation Theory
2007-06-18 v2 Number Theory
Abstract
The notion of relative cuspidality for distinguished representations attached to -adic symmetric spaces is introduced. A characterization of relative cuspidality in terms of Jacquet modules is given and a generalization of Jacquet's subrepresentation theorem to the relative case (symmetric space case) is established.
Cite
@article{arxiv.0706.0567,
title = {Subrepresentation Theorem for p-adic Symmetric Spaces},
author = {Shin-ichi Kato and Keiji Takano},
journal= {arXiv preprint arXiv:0706.0567},
year = {2007}
}