Zobrazeno 1 - 10
of 150
pro vyhledávání: '"Aubert Anne-Marie"'
Autor:
Aubert, Anne-Marie, Plymen, Roger
We consider the depth-zero supercuspidal $L$-packets of $\mathrm{SL}_2$. With the aid of the classical character formulas of Sally-Shalika, we prove the endoscopic character identities. We comment on the truth-status of Theorem 15.2 in the 2011 artic
Externí odkaz:
http://arxiv.org/abs/2410.20183
Let $F$ be a non Archimedean local field with odd residual characteristic, and let $K$ be a hyperspecial maximal compact subgroup of the $p$-adic symplectic group $G=\mathrm{Sp}_4(F)$. Let $\mathfrak{s}$ be an inertial class for $G$ in the Bernstein
Externí odkaz:
http://arxiv.org/abs/2406.04196
Autor:
Aubert, Anne-Marie
We review the construction of generalized affine Hecke algebras attached to Bernstein series of both smooth irreducible and enhanced $L$-parameters of $p$-adic reductive groups and apply it to the study of the Howe correspondence.
Comment: Prese
Comment: Prese
Externí odkaz:
http://arxiv.org/abs/2311.03203
Autor:
Aubert, Anne-Marie
The Bruhat-Tits theory is a key ingredient in the construction of irreducible smooth representations of $p$-adic reductive groups. We describe generalizations to arbitrary such representations of several results recently obtained in the case of super
Externí odkaz:
http://arxiv.org/abs/2306.06735
Autor:
Aubert Anne-Marie, Przebinda Tomasz
Publikováno v:
Open Mathematics, Vol 12, Iss 10, Pp 1500-1585 (2014)
Externí odkaz:
https://doaj.org/article/6f916891501545008dae3cf4894fc0d4
In a recent article, D. Kazhdan and A. Yom Din conjectured the validity of an asymptotic form of Schur's orthogonality for tempered irreducible unitary representations of semisimple groups defined over local fields. In the non-Archimedean case, they
Externí odkaz:
http://arxiv.org/abs/2304.11417
We consider four classes of classical groups over a non-archimedean local field F: symplectic, (special) orthogonal, general (s)pin and unitary. These groups need not be quasi-split over F. The main goal of the paper is to obtain a local Langlands co
Externí odkaz:
http://arxiv.org/abs/2211.08196
Autor:
Aubert, Anne-Marie, Xu, Yujie
We develop a general strategy for constructing the explicit Local Langlands Correspondences for $p$-adic reductive groups via reduction to LLC for supercuspidal representations of proper Levi subgroups, using Hecke algebra techniques. As an example o
Externí odkaz:
http://arxiv.org/abs/2208.12391
Hecke algebras for $p$-adic reductive groups and Local Langlands Correspondence for Bernstein blocks
Autor:
Aubert, Anne-Marie, Xu, Yujie
We study the endomorphism algebras attached to Bernstein components of reductive $p$-adic groups and construct a local Langlands correspondence with the appropriate set of enhanced $L$-parameters, using certain "desiderata" properties for the LLC for
Externí odkaz:
http://arxiv.org/abs/2202.01305