The Jacquet Langlands correspondence via twisted descent
Number Theory
2016-01-08 v2 Representation Theory
Abstract
The existence of the well-known Jacquet-Langlands correspondence was established by Jacquet and Langlands via the trace formula method in 1970. An explicit construction of such a correspondence was obtained by Shimizu via theta series in 1972. In this paper, we extend the automorphic descent method of Ginzburg-Rallis-Soudry to a new setting. As a consequence, we recover the classical Jacquet-Langlands correspondence for PGL(2) via a new explicit construction.
Keywords
Cite
@article{arxiv.1501.00506,
title = {The Jacquet Langlands correspondence via twisted descent},
author = {Dihua Jiang and Baiying Liu and Bin Xu and Lei Zhang},
journal= {arXiv preprint arXiv:1501.00506},
year = {2016}
}
Comments
Final version. 30 pages. Minor revisions. To appear in Int. Math. Res. Notices