The Library
Gross–Prasad periods for reducible representations
Tools
Tools
Tools
Loeffler, David (2021) Gross–Prasad periods for reducible representations. Forum Mathematicum, 33 (5). pp. 1169-1177. doi:10.1515/forum-2021-0089 ISSN 0933-7741.
|
PDF
WRAP-Gross-Prasad-periods-reducible-representations-2021.pdf - Published Version - Requires a PDF viewer. Available under License Creative Commons Attribution 4.0. Download (701Kb) | Preview |
|
![[img]](https://wrap.warwick.ac.uk/style/images/fileicons/application_pdf.png) |
PDF
WRAP-Gross-Prasad-periods-reducible-representations-2021.pdf - Accepted Version Embargoed item. Restricted access to Repository staff only - Requires a PDF viewer. Download (331Kb) |
Official URL: https://doi.org/10.1515/forum-2021-0089
Abstract
We study GL_2(F)-invariant periods on representations of GL_2(A), where F is a nonarchimedean local field and A/F a product of field extensions of total degree 3. For irreducible representations, a theorem of Prasad shows that the space of such periods has dimension at most 1, and is non-zero when a certain epsilon-factor condition holds. We give an extension of this result to a certain class of reducible representations (of Whittaker type), extending results of Harris--Scholl when A is the split algebra F x F x F.
| Item Type: | Journal Article | ||||||
|---|---|---|---|---|---|---|---|
| Subjects: | Q Science > QA Mathematics | ||||||
| Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||
| Library of Congress Subject Headings (LCSH): | Branching processes, Lie groups, Geometry, Algebraic | ||||||
| Journal or Publication Title: | Forum Mathematicum | ||||||
| Publisher: | De Gruyter | ||||||
| ISSN: | 0933-7741 | ||||||
| Official Date: | 8 August 2021 | ||||||
| Dates: |
|
||||||
| Volume: | 33 | ||||||
| Number: | 5 | ||||||
| Page Range: | pp. 1169-1177 | ||||||
| DOI: | 10.1515/forum-2021-0089 | ||||||
| Status: | Peer Reviewed | ||||||
| Publication Status: | Published | ||||||
| Access rights to Published version: | Open Access (Creative Commons) | ||||||
| Copyright Holders: | © 2021 Walter de Gruyter GmbH, Berlin/Boston | ||||||
| Date of first compliant deposit: | 26 July 2021 | ||||||
| Date of first compliant Open Access: | 27 August 2021 | ||||||
| RIOXX Funder/Project Grant: |
|
||||||
| Related URLs: | |||||||
| Open Access Version: |
Request changes or add full text files to a record
Repository staff actions (login required)
 |
View Item |
Downloads
Downloads per month over past year
