Results 21 to 30 of about 670 (57)

Multiplicity one for certain paramodular forms of genus two

, 2017
We show that certain paramodular cuspidal automorphic irreducible representations of $\mathrm{GSp}(4,\mathbb{A}_\mathbb{Q})$, which are not CAP, are globally generic.
Rösner, Mirko, Weissauer, Rainer
core   +1 more source

A note on the global Langlands conjecture.

Documenta Mathematica, 1998
The theory of base change is used to give some new examples of the Global Langlands Conjecture. The Galois representations involved have solvable image and are not monomial, although some multiple of them in the Grothendieck group is monomial.
Erez Lapid
semanticscholar   +1 more source

Twisting formula of epsilon factors

, 2017
For characters of a non-Archimedean local field we have explicit formula for epsilon factors. But in general, we do not have any generalized twisting formula of epsilon factors.
Biswas, Sazzad Ali
core   +1 more source

Paires duales réductives en caractéristique 2

, 1991
Over a local field of cliaracteristic 2, A.Weil has defined thé metaplectic group as an extension of a group called "pseudosymplectique". However, thé pairs of reductive subgroups {G^G') of this group, dual m thé sensé that G and G' are each others ...
Laurent Blasco
semanticscholar   +1 more source

Cuspidal ${\ell }$ -modular representations of $\operatorname {GL}_n({ F})$ distinguished by a Galois involution

Forum of Mathematics, Sigma
Let ${ F}/{ F}_0$ be a quadratic extension of non-Archimedean locally compact fields of residual characteristic $p\neq 2$ with Galois automorphism $\sigma $ , and let R be an algebraically closed field of characteristic $\ell ...
Robert Kurinczuk, Nadir Matringe, Vincent Sécherre   +2 more
doaj   +1 more source

The global Gan-Gross-Prasad conjecture for unitary groups. II. From Eisenstein series to Bessel periods

Forum of Mathematics, Pi
We state and prove an extension of the global Gan-Gross-Prasad conjecture and the Ichino-Ikeda conjecture to the case of some Eisenstein series on unitary groups $U_n\times U_{n+1}$ .
Raphaël Beuzart-Plessis, Pierre-Henri Chaudouard   +1 more
doaj   +1 more source

Periods, subconvexity of L-functions and representation theory

, 2005
We describe a new method to estimate the trilinear period on automorphic representations of PGL(2,R). Such a period gives rise to a special value of the triple L-function.
Bernstein, Joseph, Reznikov, Andre
core   +1 more source

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
core   +2 more sources

Uniqueness of Rankin-Selberg products

, 2013
In the present paper, we show the equality of the $\gamma$-factors defined by Jacquet, Piatetski-Shapiro and Shalika with those obtained via the Langlands-Shahidi method.
Henniart, Guy, Lomelí, Luis
core   +1 more source

Local parameters of supercuspidal representations

Forum of Mathematics, Pi
For a connected reductive group G over a nonarchimedean local field F of positive characteristic, Genestier-Lafforgue and Fargues-Scholze have attached a semisimple parameter ${\mathcal {L}}^{ss}(\pi )$ to each irreducible representation $\pi $
Wee Teck Gan, Michael Harris, Will Sawin, Raphaël Beuzart-Plessis   +3 more
doaj   +1 more source