On the Jacquet Conjecture on the Local Converse Problem for p-adic GL_n
Representation Theory
2014-09-18 v1
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.
Keywords
Cite
@article{arxiv.1409.4790,
title = {On the Jacquet Conjecture on the Local Converse Problem for p-adic GL_n},
author = {Moshe Adrian and Baiying Liu and Shaun Stevens and Peng Xu},
journal= {arXiv preprint arXiv:1409.4790},
year = {2014}
}
Comments
15 pages