On the support of matrix coefficients of supercuspidal representations of the general linear group over a local non-archimedean field

机译：在局部非Archimedean场上的一般线性群体超鲜谱表示矩阵系数的支持

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摘要

We derive an upper bound on the support of matrix coefficients of suprecuspidal representations of the general linear group over a non-archimedean local field. The results are in par with those which can be obtained from the Bushnell-Kutzko classification of supercuspidal representations, but they are proved independently.

机译：我们通过非Archimedean本地领域获得了一般线性组的Suprecuspidal表示的矩阵系数的支持上限。结果与那些可以从Supercuspidal表示的Bushnell-Kutzko分类中获得的结果分配，但它们是独立证明的。

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《Conference on Representation Theory and Algebraic Geometry》|2019年|x 450 pages ;|共8页
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Erez Lapid;
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中图分类 O152-532;
关键词
matrix coefficients; supercuspidal representations; non-archimedean field;

机译：矩阵系数;超级缺陷表示;非Archimedean领域;

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专利

1. Geometric conditions for square-irreducibility of certain representations of the general linear group over a non-archimedean local field [J] . Lapid Erez, Minguez Alberto Advances in Mathematics . 2018,第期

机译：非Archimedean局域地区一般线性组的某些表示的正方形条件
2. Cuspidal representations of GL(n, F) distinguished by a maximal Levi subgroup, with F a non-archimedean local field [J] . Matringe N. Comptes rendus. Mathematique . 2012,第17a18期

机译：由最大Levi子群区分的GL（n，F）的尖刻表示形式，其中F是非原始本地场
3. On parabolic induction on inner forms of the general linear group over a non-archimedean local field [J] . Lapid Erez, Minguez Alberto Selecta mathematica . 2016,第4期

机译：关于非档案局部场上一般线性群内部形式的抛物线归纳
4. On the support of matrix coefficients of supercuspidal representations of the general linear group over a local non-archimedean field [C] . Erez Lapid Conference on Representation Theory and Algebraic Geometry . 2019

机译：在局部非Archimedean场上的一般线性群体超鲜谱表示矩阵系数的支持
5. Local factors, central characters, and representations of the general linear group over non-Archimedean local fields. [D] . Chen, Jiang-Ping. 1996

机译：非阿奇米德局部域上的局部因子，中心字符和一般线性群的表示。
6. Donor impurity-related linear and nonlinear intraband optical absorption coefficients in quantum ring: effects of applied electric field and hydrostatic pressure [O] . Manuk G Barseghyan, Ricardo L Restrepo, Miguel E Mora-Ramos, 2012

机译：量子环中与施主杂质相关的线性和非线性带内光吸收系数：施加的电场和静水压力的影响
7. Matrix coefficients of depth-zero supercuspidal representations of GL(2) [O] . Andrew Knightly, Carl Ragsdale 2014

机译：GL（2）的深度零超细杂散表示的矩阵系数
8. Sharp Inequalities for Lsup(P) - Norms of Matrix Coefficients of Square Integrable Representations of Heisenberg Group and for Lsup(P) - Norms of Wigner Functions [R] . Scutaru, H. 1979

机译：Lsup（p）的尖锐不等式 - Heisenberg群的平方可积表示的矩阵系数范数和Lsup（p） - Wigner函数范数的范数

On the support of matrix coefficients of supercuspidal representations of the general linear group over a local non-archimedean field

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