Restriction for general linear groups: the local non-tempered Gan-Gross-Prasad conjecture (non-Archimedean case)
Representation Theory
2021-11-03 v3 Number Theory
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.
Keywords
Cite
@article{arxiv.2006.02623,
title = {Restriction for general linear groups: the local non-tempered Gan-Gross-Prasad conjecture (non-Archimedean case)},
author = {Kei Yuen Chan},
journal= {arXiv preprint arXiv:2006.02623},
year = {2021}
}
Comments
42 pages, v2: added Remark 5.2, Sections 5.5, 5.6 improved Theorem 7.4 in submitted version, other minor changes, v3: 45pages, accepted version, to appear in Crelle's Journal