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
UEA Research Groups:	Faculty of Science > Research Groups > Number Theory (former - to 2017) Faculty of Science > Research Groups > Algebra and Combinatorics
Related URLs:	http://arxiv.org/abs/1409.4790
Depositing User:	Pure Connector
Date Deposited:	02 Feb 2016 13:02
Last Modified:	17 Jan 2024 01:26
URI:	https://ueaeprints.uea.ac.uk/id/eprint/56862
DOI:	10.1090/ert/476

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