Some results on simple supercuspidal representations of \(\operatorname{GL}_{n}(F)\)

DOI10.1016/j.jnt.2015.08.002zbMath1330.11074OpenAlexW2179724082MaRDI QIDQ897533

Moshe Adrian, Baiying Liu

Publication date: 7 December 2015

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2015.08.002

zbMATH Keywords

converse problemsepipelagic supercuspidal representationssimple supercuspidal representations

Mathematics Subject Classification ID

Representations of Lie and linear algebraic groups over local fields (22E50) Langlands-Weil conjectures, nonabelian class field theory (11S37)

Related Items (8)

On the Langlands parameter of a simple supercuspidal representation: even orthogonal groups ⋮ Exterior square gamma factors for cuspidal representations of \(\operatorname{GL}_n\): simple supercuspidal representations ⋮ On a converse theorem for \({\text{G}}_2\) over finite fields ⋮ Local Galois representations of Swan conductor one ⋮ On the sharpness of the bound for the Local Converse Theorem of 𝑝-adic 𝐺𝐿_{𝑝𝑟𝑖𝑚𝑒} ⋮ On the Jacquet Conjecture on the local converse problem for 𝑝-adic 𝐺𝐿_{𝑁} ⋮ The Langlands parameter of a simple supercuspidal representation: symplectic groups ⋮ Local Jacquet-Langlands correspondences for simple supercuspidal representations

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