16 Result(s)
within
Wen-Wei Li
Mathematics
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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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Chapter
Introduction
Zeta integrals are indispensable tools for studying automorphic representations and their L-functions. In broad terms, it involves integrating automorphic forms (global case) or “coefficients” of representations ...
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Chapter
Analytic Background
Let F be a local field of characteristic zero and G be an affine F-group. Consider a smooth G-variety Y over F, so that Y (F) becomes an F-analytic manifold with right G(F)-action. The constructions below can be ...
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Chapter
Convergence of Some Zeta Integrals
We will need Hypothesis 5.2.2 on the existence of eigenmeasures. This is always met in practice.
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Chapter
The Doubling Method
In order to reconcile our framework with that of Braverman and Kazhdan (Mosc Math J 2:533–553, 2002), two Conjectures 7.1.5 and 7.3.4 will be postulated.
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Chapter and Conference Paper
The Shimura–Waldspurger Correspondence for Mp(2n)
We describe some recent developments and formulate some conjectures in the genuine representation theory and the study of automorphic forms of the metaplectic group Mp(2n), from the point of view of the theta cor...
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Chapter
Towards Generalized Prehomogeneous Zeta Integrals
Let X be a prehomogeneous vector space under a connected reductive group G over ℝ ...
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Chapter
Geometric Background
The main purpose of this section is to fix notation. We refer to Knop (The Luna-Vust theory of spherical embeddings. In: Proceedings of the Hyderabad conference on algebraic groups, Hyderabad, 1989, pp 225–249...
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Chapter
Schwartz Spaces and Zeta Integrals
Throughout this chapter, we fix
a local field F of characteristic zero,
a split connected reductive F-group G,
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Chapter
Prehomogeneous Vector Spaces
Unless otherwise specified, F will denote a local field of characteristic zero. We also fix a nontrivial continuous unitary character ...
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Chapter
Speculation on the Global Integrals
The constructions of basic vectors (also known as “basic functions”) and 𝜗-distributions stem from Sakellaridis (Algebra Number Theory 6:611–667, 2012, §3), to which we refer for further examples.
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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...
