|
Hokkaido University Collection of Scholarly and Academic Papers >
Graduate School of Science / Faculty of Science >
Peer-reviewed Journal Articles, etc >
On the non-vanishing of theta liftings of tempered representations of U (p, q)
This item is licensed under:Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International
| Title: | On the non-vanishing of theta liftings of tempered representations of U (p, q) |
| Authors: | Atobe, Hiraku Browse this author →KAKEN DB |
| Keywords: | Theta liftings | | U(p, q) | | Gan-Gross-Prasad conjecture |
| Issue Date: | 25-Mar-2020 |
| Publisher: | Elsevier |
| Journal Title: | Advances in Mathematics |
| Volume: | 363 |
| Start Page: | 106984 |
| Publisher DOI: | 10.1016/j.aim.2020.106984 |
| Abstract: | In this paper, we give an explicit determination of the non-vanishing of the theta liftings of tempered representations for unitary dual pairs (U(p, q),U(r, s)) for arbitrary non-negative integers p, q, r, s. For discrete series representations, in terms of Harish-Chandra parameters, we give a complete criterion when the theta lifts are nonzero. For tempered representations, we determine the non-vanishing in terms of the local Langlands correspondence assuming the local Gan-Gross-Prasad conjecture. (C) 2020 Elsevier Inc. All rights reserved. |
| Rights: | ©2020, Elsevier. Licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International http://creativecommons.org/licenses/by-nc-nd/4.0/ | | http://creativecommons.org/licenses/by-nc-nd/4.0/ |
| Type: | article (author version) |
| URI: | http://hdl.handle.net/2115/84508 |
| Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)
|
Submitter: 跡部 発
|
