Supercuspidal representations of ${\rm GL}_n({\rm F})$ distinguished by a Galois involution

Autor: Vincent Sécherre

Publikováno v: Algebra Number Theory 13, no. 7 (2019), 1677-1733
Algebra & Number Theory
Algebra & Number Theory, Mathematical Sciences Publishers 2019, 13 (7), pp.1677-1733. ⟨10.2140/ant.2019.13.1677⟩

Let $F/F_0$ be a quadratic extension of non-Archimedean locally compact fields of residual characteristic $p\neq2$, and let $\sigma$ denote its non-trivial automorphism. Let $R$ be an algebraically closed field of characteristic different from $p$. T

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3de14c502ee9ce386977cf464574c0af
https://projecteuclid.org/euclid.ant/1579143653

Iwasawa modules with extra structure and p-modular representations of GL2

Autor: Morra, Stefano

Publikováno v: Israël Journal of Mathematics
Israël Journal of Mathematics, Hebrew University Magnes Press, 2017, ⟨10.1007/s11856-017-1473-3⟩

International audience; Let F be a nite extension of Qp. We associate, to certain smooth p-modular representations \pi of GL2(F), a module S(\pi) on the mod p Iwasawa of the standard Iwahori subgroup I of GL2(F). When F is unrami ed, we obtain a modu

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::c2cfb27885fdca153067039a114528b5
https://hal.archives-ouvertes.fr/hal-02097162

Homological vanishing theorems for locally analytic representations

Autor: Jan Kohlhaase, Benjamin Schraen

Publikováno v: Mathematische Annalen
Mathematische Annalen, Springer Verlag, 2012, 353 (1), pp.219-258. ⟨10.1007/s00208-011-0680-1⟩

Let G be the group of rational points of a split connected reductive group over a p-adic local field, and let Γ be a discrete and cocompact subgroup of G. Motivated by questions on the cohomology of p-adic symmetric spaces, we investigate the homolo

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d3e1e299a3cc2a8d960ce56b35672b1d
https://doi.org/10.1007/s00208-011-0680-1

SMOOTH SPACES OF DISCRETE SERIES REPRESENTATIONS AND THE HANKEL TRANSFORM (Automorphic representations, automorphic $L$-functions and arithmetic)

Autor: BARUCH, EHUD MOSHE

Publikováno v: 数理解析研究所講究録. 1659:176-179

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=jairo_______::98f8a6bae34290a95f3ff4ba74655374
http://hdl.handle.net/2433/140924

Décomposition en blocs de la catégorie des représentations lisses ℓ-modulaires de GLn(F) et de ses formes intérieures

Autor: Shaun Stevens, Vincent Sécherre

Publikováno v: Annales Scientifiques de l'École Normale Supérieure
Annales Scientifiques de l'École Normale Supérieure, Société mathématique de France, 2016, 49 (3), pp.669-709. ⟨10.24033/asens.2293⟩

Let F be a non-Archimedean locally compact field of residue characteristic p, let D be a finite dimensional central division F-algebra and let R be an algebraically closed field of characteristic different from p. To any irreducible smooth representa

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::356ab411af812bacdea1e39598bae487
http://arxiv.org/abs/1402.5349