Results 1 to 10 of about 744 (76)
Local newforms for the general linear groups over a non-archimedean local field
Forum of Mathematics, Pi, 2022 In [14], Jacquet–Piatetskii-Shapiro–Shalika defined a family of compact open subgroups of p-adic general linear groups indexed by nonnegative integers and established the theory of local newforms for irreducible generic representations. In this paper, we
Hiraku Atobe +2 more
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On Sarnak’s Density Conjecture and Its Applications
Forum of Mathematics, Sigma, 2023 Sarnak’s density conjecture is an explicit bound on the multiplicities of nontempered representations in a sequence of cocompact congruence arithmetic lattices in a semisimple Lie group, which is motivated by the work of Sarnak and Xue ([58]).
Konstantin Golubev, Amitay Kamber
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Endomorphisms of Lie groups over local fields [PDF]
, 2017 Lie groups over totally disconnected local fields furnish prime examples of totally disconnected, locally compact groups. We discuss the scale, tidy subgroups and further subgroups (like contraction subgroups) for analytic endomorphisms of such groups ...
Helge Glockner
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Forum of Mathematics, Sigma, 2021 We establish the Bernstein-centre type of results for the category of mod p representations of $\operatorname {\mathrm {GL}}_2 (\mathbb {Q}_p)$ . We treat all the remaining open cases, which occur when p is $2$ or $3$ .
Vytautas Paškūnas, Shen-Ning Tung
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ON THE EXISTENCE OF ADMISSIBLE SUPERSINGULAR REPRESENTATIONS OF $p$-ADIC REDUCTIVE GROUPS
Forum of Mathematics, Sigma, 2020 Suppose that $\mathbf{G}$ is a connected reductive group over a finite extension $F/\mathbb{Q}_{p}$ and that $C$ is a field of characteristic $p$. We prove that the group $\mathbf{G}(F)$ admits an irreducible admissible supercuspidal, or equivalently ...
FLORIAN HERZIG +2 more
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Some Frechet algebras for which the Chern character is an isomorphism [PDF]
, 2005 Using similarities between topological K-theory and periodic cyclic ho- mology we show that, after tensoring with C, for certain Frechet algebras the Chern character provides an isomorphism between these functors.
M. Solleveld
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Forum of Mathematics, Sigma, 2020 Many phenomena in geometry and analysis can be explained via the theory of $D$-modules, but this theory explains close to nothing in the non-archimedean case, by the absence of integration by parts. Hence there is a need to look for alternatives.
AVRAHAM AIZENBUD, RAF CLUCKERS
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Equivariant perverse sheaves on Coxeter arrangements and buildings [PDF]
Épijournal de Géométrie Algébrique, 2019 When $W$ is a finite Coxeter group acting by its reflection representation on $E$, we describe the category ${\mathsf{Perv}}_W(E_{\mathbb C}, {\mathcal{H}}_{\mathbb C})$ of $W$-equivariant perverse sheaves on $E_{\mathbb C}$, smooth with respect to the ...
Martin H. Weissman
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DÉCOMPOSITION SPECTRALE ET REPRÉSENTATIONS SPÉCIALES D’UN GROUPE RÉDUCTIF $p$-ADIQUE [PDF]
Journal of the Institute of Mathematics of Jussieu, 2002 Soit $G$ un groupe réductif $p$-adique connexe. Nous effectuons une décomposition spectrale sur $G$ à partir de la formule d’inversion de Fourier utilisée dans ‘Une formule de Plancherel pour l’algèbre de Hecke d’un groupe réductif $p$-adique’, V ...
V. Heiermann
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Irreducibility criteria for local and global representations [PDF]
, 2011 It is proved that certain types of modular cusp forms generate irreducible automorphic representations of the underlying algebraic group. Analogous Archimedean and non-Archimedean local statements are also given.
Hiro-aki Narita +2 more
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