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arXiv · 1501.00506

The Jacquet Langlands correspondence via twisted descent

Dihua Jiang·Baiying Liu·Bin Xu·Lei Zhang
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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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Dihua Jiang, Baiying Liu, Bin Xu, Lei Zhang. 2016-01-07. The Jacquet Langlands correspondence via twisted descent. https://arxiv.org/abs/1501.00506

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