The Jacquet Langlands correspondence via twisted descent

Dihua Jiang · Baiying Liu · Bin Xu · Lei Zhang

2015 · arXiv preprint0 Foruma page views

Primary:math.NTNumber TheoryCross-list:math.RTRepresentation Theory

arXiv:1501.00506v2Source snapshot · 7 Jan 2016View source

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.

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First submitted 2 Jan 2015. Metadata retrieved 27 Oct 2026. Page created 27 Oct 2026.

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