|
|||||
 |
|
|
|
|
|
|
|
Local root numbers and
spectrum of the local descents for orthogonal groups:
$p$-adic case
Dihua Jiang and Lei Zhang |
|
Vol. 12 (2018), No. 6, 1489–1535
|
Abstract |
|
We investigate the local descents for special orthogonal groups over -adic local fields of characteristic zero, and obtain explicit spectral decomposition of the local descents at the first occurrence index in terms of the local Langlands data via the explicit local Langlands correspondence and explicit calculations of relevant local root numbers. The main result can be regarded as a refinement of the local Gan–Gross–Prasad conjecture (2012). |
PDF Access Denied
We have not been able to recognize your IP address
34.228.52.21
as that of a subscriber to this journal.
Online access to the content of recent issues is by
subscription, or purchase of single articles.
Please contact your institution's librarian suggesting a subscription, for example by using our journal-recommendation form. Or, visit our subscription page for instructions on purchasing a subscription.
You may also contact us at
contact@msp.org
or by using our
contact form.
Or, you may purchase this single article for USD 40.00:
Keywords
restriction and local descent, generic local Arthur packet,
local Langlands correspondence, local root numbers, local
Gan–Gross–Prasad conjecture
|
Mathematical Subject Classification 2010
Primary: 11F70
Secondary: 11S25, 20G25, 22E50
|
Milestones
Received: 1 October 2017
Revised: 29 December 2017
Accepted: 15 April 2018
Published: 6 October 2018
|
Authors |
| Dihua Jiang | |
| School of Mathematics University of Minnesota Minneapolis, MN United States |
|
| Lei Zhang | |
| Department of Mathematics National University of Singapore Singapore |
|
