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Article
ON THE REGULARITY OF D-MODULES GENERATED BY RELATIVE CHARACTERS
Following the ideas of Ginzburg, for a subgroup K of a connected reductive ℝ-group G we introduce the notion of K-admissible D-modules on a homogeneous G-variety Z. We show that K-admissible D-modules are regular...
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Article
Correction to: Stable conjugacy and epipelagic L-packets for Brylinski–Deligne covers of \({\text {Sp}}(2n)\)
A correction to this paper has been published: https://doi.org/10.1007/s00029-020-0537-0
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Article
Stable conjugacy and epipelagic L-packets for Brylinski–Deligne covers of \({\text {Sp}}(2n)\)
Let F be a local field of characteristic not 2. We propose a definition of stable conjugacy for all the covering groups of $$\text {Sp}(2n,F)$...
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Article
Basic functions and unramified local L-factors for split groups
According to a program of Braverman, Kazhdan and Ngô, for a large class of split unramified reductive groups G and representations ρ of the dual group Ĝ, the unramified local L-factor L(s, π, ρ) can be expressed ...
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Article
La formule des traces stable pour le groupe métaplectique: les termes elliptiques
Soient \(F\) F ...
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Article
La formule des traces pour les revêtements de groupes réductifs connexes III: Le développement spectral fin
Nous poursuivons l’étude de la formule des traces pour certains revêtements de groupes réductifs connexes en déduisant une formule explicite du côté spectral, basée sur des résultats d’analyse harmonique local...