On the Jacquet Conjecture on the local converse problem for 𝑝-adic 𝐺𝐿_{𝑁}

DOI10.1090/ert/476zbMath1409.11042arXiv1409.4790OpenAlexW2303813971WikidataQ123130545 ScholiaQ123130545MaRDI QIDQ2792393

Shaun Stevens, Baiying Liu, Moshe Adrian, Peng Xu

Publication date: 9 March 2016

Published in: Representation Theory of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.4790

zbMATH Keywords

local converse problemspecial pairs of Whittaker functions

Mathematics Subject Classification ID

(p)-adic theory, local fields (11F85) Representations of Lie and linear algebraic groups over local fields (22E50) Representation-theoretic methods; automorphic representations over local and global fields (11F70)

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Cites Work

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• Langlands parameters for epipelagic representations of \(\mathrm{GL}_n\)
• The \(n\times (n-2)\) local converse theorem for \(\text{GL}(n)\) over a \(p\)-adic field
• Rankin-Selberg Convolutions
• The Admissible Dual of GL(N) via Compact Open Subgroups. (AM-129)
• Représentations cuspidales du groupe linéaire
• On the realization of maximal simple types and epsilon factors of pairs
• Fourier Transforms of Intertwining Operators and Plancherel Measures for GL(n)
• Hereditary orders, Gauss sums and supercuspidal representations of GLN.
• Converse theorems for GLn, II
• On the supercuspidal representations of ${\rm GL}_N,\;N$ the product of two primes
• On the correspondence of representations between 𝐺𝐿(𝑛) and division algebras

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