A general form of Gelfand-Kazhdan criterion
Representation Theory
2011-09-23 v6
Abstract
We formalize the notion of matrix coefficients for distributional vectors in a representation of a real reductive group, which consist of generalized functions on the group. As an application, we state and prove a Gelfand-Kazhdan criterion for a real reductive group in very general settings.
Keywords
Cite
@article{arxiv.0903.1409,
title = {A general form of Gelfand-Kazhdan criterion},
author = {Binyong Sun and Chen-Bo Zhu},
journal= {arXiv preprint arXiv:0903.1409},
year = {2011}
}
Comments
16 pages, to appear in Manuscripta Mathematica