Discrete Components of Some Complementary Series
Representation Theory
2009-02-27 v1
Abstract
We show that complementary series representations of SO(n,1) contain discretely complementary series of SO(m,1) provided the continuous parameter is sufficiently close to the first point of reducibility and the representation of the compact part of the Levi is a sufficiently small fundamental representation. We prove as a consequence that cohomological representations of SO(n,1) of degree less than m/2 contain discretely, cohomogical representations of SO(m,1).
Cite
@article{arxiv.0902.4620,
title = {Discrete Components of Some Complementary Series},
author = {T. N. Venkataramana and B. Speh},
journal= {arXiv preprint arXiv:0902.4620},
year = {2009}
}