Galois self-dual cuspidal types and Asai local factors

Autor: Nadir Matringe, Vincent Sécherre, Robert Kurinczuk, Shaun Stevens, U. K. Anandavardhanan

Publikováno v: Journal of the European Mathematical Society
Journal of the European Mathematical Society, European Mathematical Society, 2021, 23 (9), pp.3129-3191. ⟨10.4171/JEMS/1080⟩

Let $F/F_{\mathsf{o}}$ be a quadratic extension of non-archimedean locally compact fields of odd residual characteristic and $\sigma$ be its non-trivial automorphism. We show that any $\sigma$-self-dual cuspidal representation of ${\rm GL}_n(F)$ cont

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8b30737ab78bf5c195e5d7d362e33d51
https://doi.org/10.4171/jems/1080

L’involution de Zelevinski modulo ℓ

Autor: Alberto Mínguez, Vincent Sécherre

Publikováno v: Representation Theory of the American Mathematical Society. 19:236-262

Let F \mathrm {F} be a non-Archimedean locally compact field with residual characteristic p p , let G \mathrm {G} be an inner form of G L n ( F ) \mathrm {GL}_n(\mathrm {F}) , n ⩾ 1 n\geqslant 1 and let R \mathrm {R} be an algebraically closed fiel

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::2ee95ce610defd993d60a43f3dd47f23
https://doi.org/10.1090/ert/466

Types et contragrédientes

Autor: Vincent Sécherre, Guy Henniart

Publikováno v: Canadian Journal of Mathematics
Canadian Journal of Mathematics, University of Toronto Press, 2014, ⟨10.4153/CJM-2013-032-7⟩

Let G be a p-adic reductive group, and R an algebraically closed field. Let us consider a smooth representation of G on an R-vector space V. Fix an open compact subgroup K of G and a smooth irreducible representation of K on a finite-dimensional R-ve

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::dae3abe31e90f8d4292a3b2132bcd7f0
https://doi.org/10.4153/cjm-2013-032-7

Unramified -modular representations of GLn(F) and its inner forms

Autor: Vincent Sécherre, Alberto Mínguez

Publikováno v: International Mathematics Research Notices
International Mathematics Research Notices, Oxford University Press (OUP), 2016, ⟨10.1093/imrn/rns278⟩
International Mathematics Research Notices, 2016, ⟨10.1093/imrn/rns278⟩
idUS. Depósito de Investigación de la Universidad de Sevilla
instname

Let F be a non-Archimedean locally compact field of residue characteristic p and R be an algebraically closed field of characteristic l different from p. Let G be the group GLn, n ¥ 1, over F or one of its inner forms. In this article, we prove that

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c6b291b4bd4bbb9aa5f77db978a4aca8
https://hal.archives-ouvertes.fr/hal-01176198

Smooth Representations of GLm(D) VI: Semisimple Types

Autor: Vincent Sécherre, Shaun Stevens

Publikováno v: International Mathematics Research Notices. 2012:2994-3039

We give a complete description of the category of smooth complex representations of the multiplicative group of a central simple algebra over a locally compact nonarchimedean local field. More precisely, for each inertial class in the Bernstein spect

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::3dc967d6bbe186e234358f1803d74cab
https://doi.org/10.1093/imrn/rnr122