ON SOME RELATIVELY CUSPIDAL REPRESENTATIONS : CASES OF GALOIS AND INNER INVOLUTIONS ON GLn

Kato, Shin-ichi; Takano, Keiji

doi:info:doi/10.18910/76682

このアイテムのアクセス数:12件（2021-03-09 00:22 集計）

このアイテムへのリンクには次のURLをご利用ください:https://doi.org/10.18910/76682

このアイテムへのリンクには次のURLをご利用ください:http://hdl.handle.net/11094/76682

閲覧可能ファイル

ファイル	フォーマット	サイズ	閲覧回数	説明
ojm57_03_711	pdf	226 KB	8

論文情報

タイトル	ON SOME RELATIVELY CUSPIDAL REPRESENTATIONS : CASES OF GALOIS AND INNER INVOLUTIONS ON GLn
著者	Kato, Shin-ichi Kato, Shin-ichi
著者	Takano, Keiji Takano, Keiji
抄録	Relatively cuspidal representations attached to a p-adic symmetric space G/H are thought of as the building blocks for all the irreducible H-distinguished representations of G. This work provides certain new examples of relatively cuspidal representations. We study three examples of symmetric spaces; GLₙ(E)/GLₙ(F), GL₂ₘ(F)/GLₘ(E), and GLₙ(F)/(GLₙ−ᵣ(F) × GLᵣ(F)) where E/F is a quadratic extension of p-adic fields. Those representations are given by induction from cuspidal distinguished representations of particular kinds of parabolic subgroups stable under the involution.
公開者	Osaka University and Osaka City University, Departments of Mathematics
掲載誌名	Osaka Journal of Mathematics
巻	57
号	3
開始ページ	711
終了ページ	736
刊行年月	2020-07
ISSN	00306126
NCID	AA00765910
URL	http://hdl.handle.net/11094/76682
言語	英語
DOI	info:doi/10.18910/76682
カテゴリ	紀要論文 Departmental Bulletin Paper
カテゴリ	Osaka Journal of Mathematics / Volume 57, Number 3 （2020-7）

著者版フラグ	publisher
NII資源タイプ	紀要論文
ローカル資源タイプ	紀要論文
dcmi資源タイプ	text
DCTERMS.bibliographicCitation	Osaka Journal of Mathematics.57(3) P.711-P.736
DC.title	ON SOME RELATIVELY CUSPIDAL REPRESENTATIONS : CASES OF GALOIS AND INNER INVOLUTIONS ON GLn
DC.creator	Kato, Shin-ichi
DC.creator	Takano, Keiji
DC.publisher	Osaka University and Osaka City University, Departments of Mathematics
DC.language" scheme="DCTERMS.RFC1766	英語
DCTERMS.issued" scheme="DCTERMS.W3CDTF	2020-07
DC.identifier" scheme="DCTERMS.URI	http://hdl.handle.net/11094/76682
DCTERMS.abstract	Relatively cuspidal representations attached to a p-adic symmetric space G/H are thought of as the building blocks for all the irreducible H-distinguished representations of G. This work provides certain new examples of relatively cuspidal representations. We study three examples of symmetric spaces; GLₙ(E)/GLₙ(F), GL₂ₘ(F)/GLₘ(E), and GLₙ(F)/(GLₙ−ᵣ(F) × GLᵣ(F)) where E/F is a quadratic extension of p-adic fields. Those representations are given by induction from cuspidal distinguished representations of particular kinds of parabolic subgroups stable under the involution.
DC.identifier	info:doi/10.18910/76682
citation_title	ON SOME RELATIVELY CUSPIDAL REPRESENTATIONS : CASES OF GALOIS AND INNER INVOLUTIONS ON GLn
citation_author	Kato, Shin-ichi
citation_author	Takano, Keiji
citation_publisher	Osaka University and Osaka City University, Departments of Mathematics
citation_language	英語
citation_date	2020-07
citation_journal_title	Osaka Journal of Mathematics
citation_volume	57
citation_issue	3
citation_firstpage	711
citation_lastpage	736
citation_issn	00306126
citation_public_url	http://hdl.handle.net/11094/76682
citation_doi	info:doi/10.18910/76682

閲覧可能ファイル

論文情報

論文詳細を表示