The Dual Pair G2 × PU3 (D) (p-Adic Case)

Author:

Savin Gordan,Gan Wee Teck

Abstract

AbstractWe study the correspondence of representations arising by restricting the minimal representation of the linear group of type E7 and relative rank 4. The main tool is computations of the Jacquet modules of the minimal representation with respect to maximal parabolic subgroups of G2 and PU3(D).

Publisher

Canadian Mathematical Society

Subject

General Mathematics

Cited by 4 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Howe duality for a quasi-split exceptional dual pair;Mathematische Annalen;2023-06-12

2. Howe duality and dichotomy for exceptional theta correspondences;Inventiones mathematicae;2022-12-02

3. Dichotomy for generic supercuspidal representations ofG2;Compositio Mathematica;2011-02-15

4. An Automorphic Theta Module for Quaternionic Exceptional Groups;Canadian Journal of Mathematics;2000-08-01

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