Restriction for general linear groups: the local non-tempered Gan-Gross-Prasad conjecture (non-Archimedean case)

2020/06/04 by Chan, Kei Yuen · 2 citations
#FOS: Mathematics #Number Theory (math.NT) #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2006.02623

Abstract

We prove a local Gan-Gross-Prasad conjecture on predicting the branching law for the non-tempered representations of general linear groups in the case of non-Archimedean field. We also generalize to Bessel and Fourier-Jacobi models and study a possible generalization to Ext-branching laws.

Cited by

• Quotient branching laws and Gan-Gross-Prasad relevance for general linear groups
• Non-tempered Gan-Gross-Prasad conjecture for Archimedean general linear groups

Related

• Non-tempered Ext Branching Laws for the p-adic General Linear Group
• Quotient branching laws and Gan-Gross-Prasad relevance for general linear groups
• Non-tempered Gan-Gross-Prasad conjecture for Archimedean general linear groups
• Quotient branching law for p-adic (GL_n+1, GL_n) I: generalized Gan-Gross-Prasad relevant pairs
• Multiplicity formula for induced representations: Bessel and Fourier-Jacobi models over Archimedean local fields