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 |
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Uncontrolled Keywords: | local converse problem,special pairs of whittaker functions |
Faculty \ School: | Faculty of Science > School of Mathematics (former - to 2024) |
UEA Research Groups: | Faculty of Science > Research Groups > Number Theory (former - to 2017) Faculty of Science > Research Groups > Algebra and Combinatorics |
Related URLs: | |
Depositing User: | Pure Connector |
Date Deposited: | 02 Feb 2016 13:02 |
Last Modified: | 18 Oct 2024 02:36 |
URI: | https://ueaeprints.uea.ac.uk/id/eprint/56862 |
DOI: | 10.1090/ert/476 |
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