Branching laws for Classical Groups: the non-tempered case

Autor:	Gan, Wee Teck, Gross, Benedict H., Prasad, Dipendra
Rok vydání:	2019
Předmět:	Mathematics - Representation Theory Mathematics - Number Theory 11F70 22E55
Zdroj:	Compositio Math. 156 (2020) 2298-2367
Druh dokumentu:	Working Paper
DOI:	10.1112/S0010437X20007496
Popis:	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. Comment: 70 pages, to appear in Compositio Math
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1911.02783 Zobrazit plný text záznamu View this record from Arxiv