Branching laws for Classical Groups: the non-tempered case
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 $GL_n$ 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.
- Publication:
-
arXiv e-prints
- Pub Date:
- November 2019
- DOI:
- 10.48550/arXiv.1911.02783
- arXiv:
- arXiv:1911.02783
- Bibcode:
- 2019arXiv191102783T
- Keywords:
-
- Mathematics - Representation Theory;
- Mathematics - Number Theory;
- 11F70;
- 22E55
- E-Print:
- 70 pages, to appear in Compositio Math