Results 31 to 40 of about 744 (76)

Raising the level for $\def \xmlpi #1{}\def \mathsfbi #1{\boldsymbol {\mathsf {#1}}}\let \le =\leqslant \let \leq =\leqslant \let \ge =\geqslant \let \geq =\geqslant \def \Pr {\mathit {Pr}}\def \Fr {\mathit {Fr}}\def \Rey {\mathit {Re}}\text {GL}_{{n}}$

Forum of Mathematics, Sigma, 2014
We prove a simple level-raising result for regular algebraic, conjugate self-dual automorphic forms on $\mathrm{GL}_n$ .
JACK A. THORNE
doaj   +1 more source

Local newforms for generic representations of unramified even unitary groups I: Even conductor case

Forum of Mathematics, Sigma
In this paper, we define compact open subgroups of quasi-split even unitary groups for each even non-negative integer and establish the theory of local newforms for irreducible tempered generic representations with a certain condition on the central ...
Hiraku Atobe
doaj   +1 more source

Contragredient representations and characterizing the local Langlands correspondence

, 2015
We consider the question: what is the contragredient in terms of L-homomorphisms? We conjecture that it corresponds to the Chevalley automorphism of the L-group, and prove this in the case of real groups.
Adams, Jeffrey, Vogan Jr, David A.
core   +1 more source

Mackey Theory for $p$-adic Lie groups

, 2005
This paper gives a $p$-adic analogue of the Mackey theory, which relates representations of a group of type $G=H\times_{t} A $ to systems of imprimitivity.Comment: 11 pages.
Hsie, BinYong
core   +1 more source

The dual pair $\mathrm {Aut}(C)\times F_{4}$ (p-adic case)

Forum of Mathematics, Sigma
We study the local theta correspondence for dual pairs of the form $\mathrm {Aut}(C)\times F_{4}$ over a p-adic field, where C is a composition algebra of dimension $2$ or $4$ , by restricting the minimal representation of a group of ...
Edmund Karasiewicz, Gordan Savin
doaj   +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

Stability in the category of smooth mod-p representations of ${\mathrm {SL}}_2(\mathbb {Q}_p)$

Forum of Mathematics, Sigma
Let $p \geq 5$ be a prime number, and let $G = {\mathrm {SL}}_2(\mathbb {Q}_p)$ . Let $\Xi = {\mathrm {Spec}}(Z)$ denote the spectrum of the centre Z of the pro-p Iwahori–Hecke algebra of G with coefficients in a field k of ...
Konstantin Ardakov, Peter Schneider
doaj   +1 more source

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

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

Relating Signed Kazhdan-Lusztig Polynomials and Classical Kazhdan-Lusztig Polynomials

, 2012
Motivated by studying the Unitary Dual Problem, a variation of Kazhdan-Lusztig polynomials was defined in [Yee08] which encodes signature information at each level of the Jantzen filtration.
Yee, Wai Ling
core   +1 more source