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The generalized doubling method: (𝑘,𝑐) models - MaRDI portal

The generalized doubling method: (𝑘,𝑐) models (Q5889740)

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scientific article; zbMATH DE number 7679773

Language	Label	Description	Also known as
English	The generalized doubling method: (𝑘,𝑐) models	scientific article; zbMATH DE number 7679773

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scholarly article

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The generalized doubling method: (𝑘,𝑐) models (English)

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Solomon Friedberg

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Dmitry Gourevitch

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Proceedings of the American Mathematical Society

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publication date

27 April 2023

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full work available at URL

https://arxiv.org/abs/2109.11309

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zbMATH Keywords

doubling method

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Whittaker models

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Speh representations

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Shalika model

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MaRDI profile type

MaRDI publication profile

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Derivatives for smooth representations of \(\mathrm{GL}(n, \mathbb R)\) and \(\mathrm{GL}(n, \mathbb C)\)

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Twisted homology for the mirabolic nilradical

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

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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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Certain conjectures relating unipotent orbits to automorphic representations

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Generalized and degenerate Whittaker models

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Multiplicity one theorems for the generalized doubling method (with an appendix by Avraham Aizenbud and Dmitry Gourevitch)

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Annihilator varieties, adduced representations, Whittaker functionals, and rank for unitary representations of \(GL(n)\)

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Rankin-Selberg Convolutions

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The Whittaker models of induced representations

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On a determinantal formula of Tadić

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Le spectre résiduel de ${\rm GL}(n)$

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Analysis in matrix space and Speh's representations

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Characteristic cycles and wave front cycles of representations of reductive Lie groups

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Rankin-Selberg convolutions for 𝑆𝑂_{2𝑙+1}×𝐺𝐿_{𝑛}: local theory

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On the archimedean theory of Rankin-Selberg convolutions for ${\rm SO}_{2l+1}\times{\rm GL}_n$

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Full multiplicativity of gamma factors for \(\operatorname {SO}_{2\ell+1}\times \operatorname {GL}_n\)

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Classification of unitary representations in irreducible representations of general linear group (non-Archimedean case)

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Gelfand-Kirillov dimension for Harish-Chandra modules

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The unitary dual of \(\mathrm{GL}(n)\) over an archimedean field

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Holomorphic continuation of generalized Jacquet integrals for degenerate principal series

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Induced representations of reductive ${\germ p}$-adic groups. II. On irreducible representations of ${\rm GL}(n)$

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Identifiers

10.1090/proc/16370

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:5889740

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