Zobrazeno 1 - 10
of 20 859
pro vyhledávání: '"Jacquet, P. A."'
Autor:
Li, Huajie
In an infinitesimal variant of Guo-Jacquet trace formulae, the regular semi-simple terms are expressed as noninvariant weighted orbital integrals on two global infinitesimal symmetric spaces. We prove some relations between the Fourier transforms of
Externí odkaz:
http://arxiv.org/abs/2410.23648
We study the locally analytic theory of infinite level local Shimura varieties. As a main result, we prove that in the case of a duality of local Shimura varieties, the locally analytic vectors of different period sheaves at infinite level are indepe
Externí odkaz:
http://arxiv.org/abs/2411.17082
Autor:
Huang, Chang
Kei Yuen Chan and Kayue Daniel Wong constructed a functor from the category of Harish-Chandra modules of $\GL(n, \C)$ to the category of modules over graded Hecke algebra $\H_m$ of type A. This functor has several nice properties, such as compatible
Externí odkaz:
http://arxiv.org/abs/2410.10129
Autor:
Lu, Yan-Der
In this two-part series of articles, we present a new proof comparing the trace formula for a general linear group with that of one of its inner forms. Our methodology relies on the trace formula for Lie algebras, incorporating the notion of non-inva
Externí odkaz:
http://arxiv.org/abs/2410.10059
Autor:
Lu, Weixiao
We study some aspects of the geometric side of the Jacquet-Rallis relative trace formula. Globally, we compute each geometric term of the Jacquet-Rallis relative trace formula on the general linear group for regular supported test functions. We prove
Externí odkaz:
http://arxiv.org/abs/2407.14952
Autor:
Wang, X. Griffin, Zhang, Zhiyu
We prove the Jacquet--Rallis fundamental lemma for spherical Hecke algebras over local function fields using multiplicative Hitchin fibrations. Our work is inspired by the proof of [Yun11] in the Lie algebra case and builds upon the general framework
Externí odkaz:
http://arxiv.org/abs/2408.15155
Let $F$ be a finite field and $G=\GL(2n,F)$. In this paper, we calculate the dimension of the twisted Jacquet module $\pi_{N,\psi_{A}}$ where $A\in \M(n,F)$ is a rank $k$ matrix and $\pi$ is an irreducible cuspidal representation of $G$.
Comment
Comment
Externí odkaz:
http://arxiv.org/abs/2407.14240
Autor:
Yang, Jun
We show the local-global compatibility of each local Plancherel measure and the Tamagawa measure under the Jacquet-Langlands correspondence of GL(n). We prove that the global Jacquet-Langlands correspondence preserves von Neumann dimensions over arit
Externí odkaz:
http://arxiv.org/abs/2405.18372
Autor:
Dagar, Prem, Verma, Mahendra Kumar
Let $\F$ be a non-Archimedean local field.~Consider $\G_{n}:= \Sp_{2n}(\F)$ and let $\M:= \GL_l \times \G_{n-l}$ be a maximal Levi subgroup of $\G_{n}$.~This paper undertakes the computation of the Jacquet module of representations of $\G_{n}$ with r
Externí odkaz:
http://arxiv.org/abs/2405.06450
Autor:
Dagar, Prem, Verma, Mahendra Kumar
Let F be a non-Archimedean local field. Consider G_n:= GL_n(F) and let M:= G_l * G_{n-l} be a maximal Levi subgroup of G_n. In this article, we compute the semisimplified Jacquet module of representations of G_n with respect to the maximal Levi subgr
Externí odkaz:
http://arxiv.org/abs/2405.05719