ON THE SOCLES OF CERTAIN PARABOLICALLY INDUCED REPRESENTATIONS OF p-ADIC CLASSICAL GROUPS

Atobe, Hiraku

Representation theory, 2022, 26, 515-541

Permalink : https://hdl.handle.net/2115/86208

このアイテムのアクセス数:246件（2026-01-17 19:11 集計）

ファイル	フォーマット	サイズ	閲覧回数	説明
https://doi.org/10.1090/ert/612

アクセス権	metadata only access
URI	https://hdl.handle.net/2115/86208
タイトル	ON THE SOCLES OF CERTAIN PARABOLICALLY INDUCED REPRESENTATIONS OF p-ADIC CLASSICAL GROUPS
著者	e-Rad_Researcher 50837284 著者名 Atobe, Hiraku
言語	英語
キーワード	Socles
	Speh representations
	A-parameters
発行日	2022-04-25
出版者	American Mathematical Society
収録物名	Representation theory
巻(号)	26
ページ	515-541
抄録	In this paper, we consider representations of p-adic classical groups parabolically induced from the products of shifted Speh representations and unitary representations of Arthur type of good parity. We describe how to compute the socles (the maximal semisimple subrepresentations) of these rep-resentations. As a consequence, we can determine whether these representa-tions are reducible or not. In particular, our results produce many unitary representations, which appear in the complementary series.
資源タイプ	学術雑誌論文
出版タイプ	Version of Record
PISSN	1088-4165
関連情報 (isIdenticalTo)	出版社版DOI https://doi.org/10.1090/ert/612