Results 1 to 10 of about 596 (35)

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, Satoshi Kondo, Seidai Yasuda   +2 more
doaj   +1 more source

Automorphy lifting with adequate image

Forum of Mathematics, Sigma, 2023
Let F be a CM number field. We generalise existing automorphy lifting theorems for regular residually irreducible p-adic Galois representations over F by relaxing the big image assumption on the residual representation.
Konstantin Miagkov, Jack A. Thorne
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Equidimensionality of universal pseudodeformation rings in characteristic p for absolute Galois groups of p-adic fields

Forum of Mathematics, Sigma, 2023
Let K be a finite extension of the p-adic field ${\mathbb {Q}}_p$ of degree d, let ${{\mathbb {F}}\,\!{}}$ be a finite field of characteristic p and let ${\overline {{D}}}$ be an n-dimensional pseudocharacter in the sense of ...
Gebhard Böckle, Ann-Kristin Juschka
doaj   +1 more source

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, KAROL KOZIOŁ, MARIE-FRANCE VIGNÉRAS   +2 more
doaj   +1 more source

THE BERNSTEIN CENTER OF THE CATEGORY OF SMOOTH $W(k)[\text{GL}_{n}(F)]$ -MODULES

Forum of Mathematics, Sigma, 2016
We consider the category of smooth $W(k)[\text{GL}_{n}(F)]$ -modules, where $F$
DAVID HELM
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Une remarque sur le degré formel d’une série discrète d’un groupe linéaire général $p$-adique [PDF]

, 2006
International ...
Heiermann, Volker
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COMPATIBLE SYSTEMS OF GALOIS REPRESENTATIONS ASSOCIATED TO THE EXCEPTIONAL GROUP $E_{6}$

Forum of Mathematics, Sigma, 2019
We construct, over any CM field, compatible systems of $l$-adic Galois representations that appear in the cohomology of algebraic varieties and have (for all $l$) algebraic monodromy groups equal to the exceptional group of type $E_{6}$.
GEORGE BOXER, FRANK CALEGARI, MATTHEW EMERTON, BRANDON LEVIN, KEERTHI MADAPUSI PERA, STEFAN PATRIKIS   +5 more
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DEFORMATION CONDITIONS FOR PSEUDOREPRESENTATIONS

Forum of Mathematics, Sigma, 2019
Given a property of representations satisfying a basic stability condition, Ramakrishna developed a variant of Mazur’s Galois deformation theory for representations with that property.
PRESTON WAKE, CARL WANG-ERICKSON
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Distinguished non-Archimedean representations

, 2004
For a symmetric space (G,H), one is interested in understanding the vector space of H-invariant linear forms on a representation \pi of G. In particular an important question is whether or not the dimension of this space is bounded by one.
AC Kable, D Prasad, D Prasad, D Shelstad, G Harder, H Jacquet, H Jacquet, H Jacquet, H Saito, J Hakim, J Hakim, J Hakim, JP Labesse, M Tadic, R Gow, SS Gelbart, UK Anandavardhanan, UK Anandavardhanan, UK Anandavardhanan, UK Anandavardhanan, Y Flicker, Y Flicker   +21 more
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On the local $L^2$ -Bound of the Eisenstein series

Forum of Mathematics, Sigma
We study the growth of the local $L^2$ -norms of the unitary Eisenstein series for reductive groups over number fields, in terms of their parameters. We derive a poly-logarithmic bound on an average, for a large class of reductive groups.
Subhajit Jana, Amitay Kamber
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