Gamma factors and converse theorems for classical groups over finite fields
type: Item
instance of: scholarly article
title: Gamma factors and converse theorems for classical groups over finite fields
author: Baiying Liu
author: Qing Zhang
published in: Journal of Number Theory
publication date: 2022-01-28T00:00:00Z
Mathematics Subject Classification ID: 20C33
Mathematics Subject Classification ID: 20G40
zbMATH DE Number: 7466552
zbMATH Keywords: multiplicity one
zbMATH Keywords: classical group
zbMATH Keywords: converse theorem
zbMATH Keywords: generic cuspidal representations
MaRDI profile type: Publication
full work available at URL: j.jnt.2021.06.024
OpenAlex ID: W3186641050
Wikidata QID: Q113870351
cites work: Multiplicity one theorems
cites work: Q5325591
cites work: REPRESENTATIONS OF THE GROUPGL(n,F) WHEREFIS A NON-ARCHIMEDEAN LOCAL FIELD
cites work: Q2737651
cites work: Bessel functions for \(\mathrm{GL}_2\)
cites work: Representations of reductive groups over finite fields
cites work: Symplectic local root numbers, central critical L-values, and restriction problems in the representation theory of classical groups
cites work: Restrictions of representations of classical groups: examples
cites work: Character Sheaves and Generalized Gelfand-Graev Characters
cites work: On the unipotent support of character sheaves.
cites work: Explicit constructions of automorphic \(L\)-functions
cites work: Weil representations associated to finite fields
cites work: Q4342821
cites work: $L$-functions for symplectic groups
cites work: Small representations of finite classical groups
cites work: Theta dichotomy for unitary groups
cites work: Depth-Zero Representations of Nonlinear Covers of p-Adic Groups
cites work: Complementary results on the Rankin-Selberg gamma factors of classical groups
cites work: Q3691930
cites work: Generalized Gelfand-Graev representations of exceptional simple algebraic groups over a finite field. I
cites work: Uniqueness of certain Fourier-Jacobi models over finite fields
cites work: On the Gan-Gross-Prasad problem for finite unitary groups
cites work: Characters of Reductive Groups over a Finite Field. (AM-107)
cites work: A unipotent support for irreducible representations
cites work: A proof of the finite field analogue of Jacquet’s conjecture
cites work: Converse theorem of Gauss sums. With an appendix by Zhiwei Yun
cites work: Splittings of the metaplectic covers of some reductive dual pairs.
cites work: Local theta correspondence of depth zero representations and theta dichotomy.
cites work: Complex Representations of 𝐺𝐿(2,𝐾) for Finite Fields 𝐾
cites work: On some explicit formulas in the theory of Weil representation
cites work: Rankin-Selberg convolutions for 𝑆𝑂_{2𝑙+1}×𝐺𝐿_{𝑛}: local theory
cites work: Multiplicity one theorems for Fourier-Jacobi models
cites work: Q3209342
cites work: A local converse theorem for \(\mathrm{Sp}_{2r}\)
cites work: A local converse theorem for 𝑈₂ᵣ₊₁
DOI: 10.1016/J.JNT.2021.06.024
description: scientific article; zbMATH DE number 7466552