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arXiv · 1409.4790

On the Jacquet Conjecture on the Local Converse Problem for p-adic GL_n

Moshe Adrian·Baiying Liu·Shaun Stevens·Peng Xu
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Abstract

Based on previous results of Jiang, Nien and the third author, we prove that any two minimax unitarizable supercuspidals of GL_N that have the same depth and central character admit a special pair of Whittaker functions. This result gives a new reduction towards a final proof of Jacquet's conjecture on the local converse problem for GL_N. As a corollary of our result, we prove Jacquet's conjecture for GL_N, when N is prime.

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BibTeXRIS

Moshe Adrian, Baiying Liu, Shaun Stevens, Peng Xu. 2014-09-16. On the Jacquet Conjecture on the Local Converse Problem for p-adic GL_n. https://arxiv.org/abs/1409.4790

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