Results 31 to 40 of about 663 (54)
The dual pair $\mathrm {Aut}(C)\times F_{4}$ (p-adic case)
Forum of Mathematics, SigmaWe 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
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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
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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
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Stability in the category of smooth mod-p representations of ${\mathrm {SL}}_2(\mathbb {Q}_p)$
Forum of Mathematics, SigmaLet $p \geq 5$ 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
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Forum of Mathematics, SigmaLet ${ F}/{ F}_0$ 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 +2 more
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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
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On a variation of the Erdős–Selfridge superelliptic curve
Bulletin of the London Mathematical Society, Volume 51, Issue 4, Page 633-638, August 2019., 2019 Abstract In a recent paper by Das, Laishram and Saradha, it was shown that if there exists a rational solution of yl=(x+1)…(x+i−1)(x+i+1)…(x+k) for i not too close to k/2 and y≠0, then logl<3k. In this paper, we extend the number of terms that can be missing in the equation and remove the condition on i.
Sam Edis
wiley +1 more source
Forum of Mathematics, PiWe 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 +1 more
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Local newforms and formal exterior square L-functions
, 2012 Let F be a non-archimedean local field of characteristic zero. Jacquet and Shalika attached a family of zeta integrals to unitary irreducible generic representations $\pi$ of GL_n(F). In this paper, we show that Jacquet-Shalika integral attains a certain
Miyauchi, Michitaka, Yamauchi, Takuya
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Distributions and wave front sets in the uniform non‐archimedean setting
Transactions of the London Mathematical Society, Volume 5, Issue 1, Page 97-131, December 2018., 2018 Abstract We study some constructions on distributions in a uniform p‐adic context, and also in large positive characteristic, using model theoretic methods. We introduce a class of distributions which we call distributions of C exp ‐class and which is based on the notion of C exp ‐class functions from Cluckers and Halupczok [J. Ecole Polytechnique (JEP)
Raf Cluckers +3 more
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