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The Jacquet Langlands correspondence via twisted descent

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.

preprint2016arXivOpen access
Dihua JiangBaiying LiuBin XuLei Zhang
math.RTmath.NT
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Dihua JiangBaiying LiuBin XuLei Zhang

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