Branching laws for Classical Groups: the non-tempered case
Representation Theory
2020-12-30 v2 Number Theory
Abstract
This paper generalizes the GGP conjectures which were earlier formulated for tempered or more generally generic L-packets to Arthur packets, especially for the nongeneric L-packets arising from Arthur parameters. The paper introduces the key notion of a relevant pair of A-parameters which governs the branching laws for and all classical groups over both local fields and global fields. It plays a role for all the branching problems studied in our earlier work including Bessel models and Fourier-Jacobi models.
Keywords
Cite
@article{arxiv.1911.02783,
title = {Branching laws for Classical Groups: the non-tempered case},
author = {Wee Teck Gan and Benedict H. Gross and Dipendra Prasad},
journal= {arXiv preprint arXiv:1911.02783},
year = {2020}
}
Comments
70 pages, to appear in Compositio Math