On the non-vanishing of theta liftings of tempered representations of U (p, q)

Atobe, Hiraku

Advances in Mathematics, 2020, 363, 106984

Permalink : https://hdl.handle.net/2115/84508

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Adv. math 363_106984	pdf	371 KB	300

アクセス権	open access
URI	https://hdl.handle.net/2115/84508
タイトル	On the non-vanishing of theta liftings of tempered representations of U (p, q)
著者	e-Rad_Researcher 50837284 著者名 Atobe, Hiraku
言語	英語
キーワード	Theta liftings
	U(p, q)
	Gan-Gross-Prasad conjecture
発行日	2020-03-25
出版者	Elsevier
収録物名	Advances in Mathematics
巻(号)	363
ページ	106984
抄録	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.
資源タイプ	学術雑誌論文
出版タイプ	Accepted Manuscript
権利情報	Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International
権利情報	©2020, Elsevier. Licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International http://creativecommons.org/licenses/by-nc-nd/4.0/
PISSN	0001-8708
関連情報 (isVersionOf)	出版社版DOI https://doi.org/10.1016/j.aim.2020.106984