On the reducibility of induced representations for classical p-adic groups and related affine Hecke algebras

Autor: Dan Ciubotaru, Volker Heiermann

Publikováno v: Israël Journal of Mathematics
Israël Journal of Mathematics, Hebrew University Magnes Press, 2019, ⟨10.1007/s11856-019-1857-7⟩
Israel Journal of Mathematics
Israel Journal of Mathematics, 2019, ⟨10.1007/s11856-019-1857-7⟩

Let $\pi $ be an irreducible smooth complex representation of a general linear $p$-adic group and let $\sigma $ be an irreducible complex supercuspidal representation of a classical $p$-adic group of a given type, so that $\pi\otimes\sigma $ is a rep

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e5054c929db20eb374223de2db83a201
https://hal.archives-ouvertes.fr/hal-01654762

On the generic local Langlands correspondence for GSpin groups

Autor: Volker Heiermann, Yeansu Kim

Publikováno v: Transactions of the American Mathematical Society
Transactions of the American Mathematical Society, American Mathematical Society, 2017, 369 (6), pp.4275-4291. ⟨10.1090/tran/6791⟩
Transactions of the American Mathematical Society, 2017, 369 (6), pp.4275-4291. ⟨10.1090/tran/6791⟩

In the case of split $GSpin$ groups, we prove an equality of $L$-functions between automorphic local $L$-functions defined by the Langlands-Shahidi method and local Artin $L$-functions. Our method of proof is based on previous results of the first au

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2a88c9834e611dbacd051844b6dfe38d
https://hdl.handle.net/21.11116/0000-0004-096E-821.11116/0000-0004-096F-721.11116/0000-0004-096C-A

A note on Standard Modules and Vogan L-packets

Autor: Volker Heiermann

Publikováno v: manuscripta mathematica
manuscripta mathematica, Springer Verlag, 2016, 150, pp.571-583. ⟨10.1007/s00229-016-0824-4⟩
Manuscripta mathematica
Manuscripta mathematica, 2016, 150, pp.571-583. ⟨10.1007/s00229-016-0824-4⟩

Let $F$ be a non-Archimedean local field of characteristic $0$, let $G$ be the group of $F$-rational points of a connected reductive group defined over $F$ and let $G'$ be the group of $F$-rational points of its quasi-split inner form. Given standard

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1a9a37c32a7a753b49519766c70e0360
https://hal.archives-ouvertes.fr/hal-01270485

Opérateurs d’entrelacement et algèbres de Hecke avec paramètres d’un groupe réductif p-adique: le cas des groupes classiques

Autor: Volker Heiermann

Publikováno v: Selecta Mathematica. 17:713-756

For G, a symplectic or orthogonal p-adic group (not necessarily split) or an inner form of a general linear p-adic group, we compute the endomorphism algebras of some induced projective generators a la Bernstein of the category of smooth representati

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::5cfca3d5637324ae2645017be8a6e99a
https://doi.org/10.1007/s00029-011-0056-0

Une remarque sur le degré formel d’une série discrète d’un groupe linéaire général $p$-adique

Autor: Volker Heiermann

Publikováno v: Bulletin de la Société mathématique de France. 134:165-171

Nous montrons dans le cas simple du groupe lineaire general, comment on peut deduire de [2] des informations precises sur le degre formel d'une representation de carre integrable d'un groupe p-adique.

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::24ade3aa0257a121700907c466d5766b
https://doi.org/10.24033/bsmf.2504