Výsledky vyhledávání - "Guy, Henniart"

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Representations of $GL_n(D)$ near the identity

Autor: Guy, Henniart, Marie-France, Vignéras

For a central division algebra $D$ of dimension $d^2$ over a finite extension $F$ of $\mathbb Q_p$ or of $\mathbb F_p((t))$, a field $R$ of characteristic prime to $p$, and an irreducible smooth $R$-representation $\pi$ of $G=GL_n(D)$, we show that f

Externí odkaz: http://arxiv.org/abs/2305.06581

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Comparison of compact induction with parabolic induction

Autor: Guy, Henniart, Marie-France, Vigneras

Let $F$ be any non archimedean locally compact field of residual characteristic $p$, let $G$ be any reductive connected $F$-group and let $K$ be any special parahoric subgroup of $G(F)$. We choose a parabolic $F$-subgroup $P$ of $G$ with Levi decompo

Externí odkaz: http://arxiv.org/abs/1111.7276

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Zeros of Rankin–Selberg $L$-functions at the edge of the critical strip (with an appendix by Colin J. Bushnell and Guy Henniart)

Autor: Asif Zaman, Colin J. Bushnell, Jesse Thorner, Farrell Brumley, Guy Henniart

Publikováno v: Journal of the European Mathematical Society. 24:1471-1541

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::47395db2157d3549ad90f4da9a77edbb
https://doi.org/10.4171/jems/1134

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Asai cube L-functions and the local Langlands correspondence

Autor: Luis Lomelí, Guy Henniart

Publikováno v: Journal of Number Theory. 221:247-269

Let F be a non-archimedean locally compact field. We study a class of Langlands-Shahidi pairs ( H , L ) , consisting of a quasi-split connected reductive group H over F and a Levi subgroup L which is closely related to a product of restriction of sca

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::f677c0f586b07ddd78906383ff663cbc
https://doi.org/10.1016/j.jnt.2020.05.023

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Tame multiplicity and conductor for local Galois representations

Autor: Colin J. Bushnell, Guy Henniart

Publikováno v: Tunisian J. Math. 2, no. 2 (2020), 337-357

Let $F$ be a non-Archimedean locally compact field of residual characteristic $p$. Let $\sigma$ be an irreducible smooth representation of the absolute Weil group $\Cal W_F$ of $F$ and $\sw(\sigma)$ the Swan exponent of $\sigma$. Assume $\sw(\sigma)

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fe7c05b77c132fcc55fa148c8b5f9748
https://doi.org/10.2140/tunis.2020.2.337

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Local Langlands correspondence and ramification for Carayol representations

Autor: Colin J. Bushnell, Guy Henniart

Publikováno v: Compositio Mathematica. 155:1959-2038

Let $F$ be a non-Archimedean locally compact field of residual characteristic $p$ with Weil group $\Cal W_F$. Let $\sigma$ be an irreducible smooth complex representation of $\Cal W_F$, realized as the Langlands parameter of an irreducible cuspidal r

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5086a4ee2997c2dcfeb4e61a6d6c213b
https://doi.org/10.1112/s0010437x19007449

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Representations of a reductive $p$-adic group in characteristic distinct from $p$

Autor: Guy Henniart, Marie-France Vignéras

We investigate the irreducible cuspidal $C$-representations of a reductive $p$-adic group $G$ over a field $C$ of characteristic different from $p$. When $C$ is algebraically closed, for many groups $G$, a list of cuspidal $C$-types $(J,\lambda)$ has

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::68490b614ce6b804c35b0ae1b9ba4257
http://arxiv.org/abs/2010.06462

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A classification of irreducible admissible mod 𝑝 representations of 𝑝-adic reductive groups

Autor: Guy Henniart, Noriyuki Abe, Florian Herzig, Marie-France Vigneras

Publikováno v: Journal of the American Mathematical Society. 30:495-559

Let F be a locally compact non-archimedean field, p its residue characteristic, and G a connected reductive group over F. Let C an algebraically closed field of characteristic p. We give a complete classification of irreducible admissible C-represent

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3bab513364620e28c8ec3053cebd9773
https://doi.org/10.1090/jams/862

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Explicit local Jacquet-Langlands correspondence: the non-dyadic wild case

Autor: Guy Henniart, Colin J. Bushnell

Let $F$ be a non-Archimedean locally compact field of residual characteristic $p$ with $p\neq 2$. Let $n$ be a power of $p$ and let $G$ be an inner form of the general linear group $\text{\rm GL}_n(F)$. We give a transparent parametrization of the ir

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5f98b20db3cfd22b5c3bdf2b2eb28363

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Jordan blocks of cuspidal representations of symplectic groups

Autor: Corinne Blondel, Guy Henniart, Shaun Stevens

Publikováno v: Algebra & Number Theory
Algebra & Number Theory, Mathematical Sciences Publishers 2018, 12 (10), pp.2327-2386. ⟨10.2140/ant.2018.12.2327⟩
Algebra Number Theory 12, no. 10 (2018), 2327-2386

Let $G$ be a symplectic group over a nonarchimedean local field of characteristic zero and odd residual characteristic. Given an irreducible cuspidal representation of G, we determine its Langlands parameter (equivalently, its Jordan blocks in the la

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::59ba29590aa82a3fe457098e109e818c

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