The characterization of theta-distinguished representations of $\mathrm{GL}(n)$ (Q1686396)

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English	The characterization of theta-distinguished representations of $\mathrm{GL}(n)$	scientific article

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title

The characterization of theta-distinguished representations of $\mathrm{GL}(n)$ (English)

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zbMATH Open document ID

1431.11068

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DOI

10.1007/s11856-017-1600-1

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author

Eyal Kaplan

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published in

Israel Journal of Mathematics

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publication date

22 December 2017

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full work available at URL

https://arxiv.org/abs/1502.06643

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Mathematics Subject Classification ID

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exceptional representations

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metaplectic double cover

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twisted Jacquet modules

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MaRDI profile type

MaRDI publication profile

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Local transfer and reducibility of induced representations of 𝑝-adic groups of classical type

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$p$-adic $L$-functions for $\text{GL}(2n)$

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Generic transfer for general spin groups

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Local L-Functions for Split Spinor Groups

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A corollary to Bernstein's theorem and Whittaker functionals on the metaplectic group

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Q4488717

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Q4808260

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Lifting automorphic representations on the double covers of orthogonal groups

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Symmetric square $L$-functions on $GL(r)$

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Minimal representations of E6, E7, and E8 and the generalized Capelli identity.

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Block-compatible metaplectic cocycles

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REPRESENTATIONS OF THE GROUPGL(n,F) WHEREFIS A NON-ARCHIMEDEAN LOCAL FIELD

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Induced representations of reductive ${\germ p}$-adic groups. I

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Doubling constructions and tensor product $L$-functions: the linear case

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Functoriality for the classical groups

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Q3019005

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Linear periods.

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Metaplectic correspondence

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Explicit realization of a metaplectic representation

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On representations distinguished by unitary groups

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Certain conjectures relating unipotent orbits to automorphic representations

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Zeta functions of simple algebras

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On Certain Automorphic Descents to GL2

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Distinguished representations and modular forms of half-integral weight

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On a correspondence between cuspidal representations of 𝐺𝐿_{2𝑛} and 𝑆𝑝̃_{2𝑛}

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Q2746856

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On Fourier coefficients of automorphic forms of symplectic groups

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Q4674798

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Characterization of the local Langlands conjecture by $\varepsilon$-factors for pairs

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Descent Construction for GSpin groups

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Representations Distinguished by Pairs of Exceptional Representations and a Conjecture of Savin

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Theta distinguished representations, inflation and the symmetric square $L$-function

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THE DOUBLE COVER OF ODD GENERAL SPIN GROUPS, SMALL REPRESENTATIONS, AND APPLICATIONS

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Q3972933

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Topological covering of SL(2) over a local field

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Genericity of Representations of p-Adic Sp2n and Local Langlands Parameters

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A conjecture on Whittaker-Fourier coefficients of cusp forms

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Sur les sous-groupes arithmétiques des groupes semi-simples déployés

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Conjectures about Distinction and Local Asai L-Functions

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Distinction of some induced representations

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Distinguished Generic Representations of GL(n) over p-adic Fields

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Residual spectrum of $\mathrm{GL}_{2n}$ distinguished by the symplectic group

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A Casselman–Shalika Formula for the Shalika Model of GLn

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On the tensor product of theta representations of $GL_ 3$

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An analogue of the Weil representation for G2.

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Dual pair $G_{\mathcal J}\times PGL_ 2 G_{\mathcal J}$ is the automorphism group of the Jordan algebra ${\mathcal J}$

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A proof of Langlands' conjecture on Plancherel measures; complementary series for $p$-adic groups

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The characterization of theta-distinguished representations of \(\mathrm{GL}(n)\) (Q1686396)

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Mathematics(1 entry)