Coincidence of algebraic and smooth theta correspondences
Representation Theory
2016-11-22 v1
Abstract
An "automatic continuity" question has naturally occurred since Roger Howe established the local theta correspondence over : does the algebraic version of local theta correspondence over agrees with the smooth version? We show that the answer is yes, at least when the concerning dual pair has no quaternionic type I irreducible factor.
Keywords
Cite
@article{arxiv.1611.06298,
title = {Coincidence of algebraic and smooth theta correspondences},
author = {Yixin Bao and Binyong Sun},
journal= {arXiv preprint arXiv:1611.06298},
year = {2016}
}