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

Adrian, Moshe, Liu, Baiying, Stevens, Shaun and Xu, Peng (2016) On the Jacquet Conjecture on the Local Converse Problem for p-adic GL_n. Representation Theory, 20. pp. 1-13. ISSN 1088-4165

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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.

Item Type: Article
Uncontrolled Keywords: local converse problem,special pairs of whittaker functions
Faculty \ School: Faculty of Science > School of Mathematics
Related URLs:
Depositing User: Pure Connector
Date Deposited: 02 Feb 2016 13:02
Last Modified: 22 Jul 2020 00:09
URI: https://ueaeprints.uea.ac.uk/id/eprint/56862
DOI: 10.1090/ert/476

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