Multiplicity one theorems for the generalized doubling method
Number Theory
2021-03-09 v3 Representation Theory
Abstract
In this work we prove the local multiplicity at most one theorem underlying the definition and theory of local -, - and -factors, defined by virtue of the generalized doubling method, over any local field of characteristic 0. We also present two applications: one to the existence of local factors for genuine representations of covering groups, the other to the global unfolding argument of the doubling integral.
Cite
@article{arxiv.1909.08382,
title = {Multiplicity one theorems for the generalized doubling method},
author = {Avraham Aizenbud and Dmitry Gourevitch and Eyal Kaplan},
journal= {arXiv preprint arXiv:1909.08382},
year = {2021}
}
Comments
To be published in the J. Eur. Math. Soc. The main body of the paper by Dmitry Gourevitch and Eyal Kaplan. Appendix A by Avraham Aizenbud and Dmitry Gourevitch. V2: Appendix A added