Classification of Irreducible (g, k)-Modules Associated to the Ideals of Minimal Nilpotent Orbits for Simple Lie Groups of Type A

Tamori, Hiroyoshi

IMRN: International Mathematics Research Notices, 2021, 2023(5), 3814-3847

Permalink : https://hdl.handle.net/2115/88245

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アクセス権	open access
URI	https://hdl.handle.net/2115/88245
タイトル	Classification of Irreducible (g, k)-Modules Associated to the Ideals of Minimal Nilpotent Orbits for Simple Lie Groups of Type A
著者	著者名 Tamori, Hiroyoshi
言語	英語
発行日	2021-12-21
出版者	Oxford University Press
収録物名	IMRN: International Mathematics Research Notices
巻(号)	2023(5)
ページ	3814-3847
抄録	We classify completely prime primitive ideals whose associated varieties are the closure of the minimal nilpotent coadjoint orbit for g = sl(n, C) and classify irreducible (g, k)modules, which have those ideals as annihilators. Moreover, we irreducibly decompose them as k-modules.
資源タイプ	学術雑誌論文
出版タイプ	Accepted Manuscript
権利情報	This is a pre-copyedited, author-produced version of an article accepted for publication in IMRN: International Mathematics Research Notices following peer review. The version of record: Hiroyoshi Tamori, Classification of Irreducible (g, k)-Modules Associated to the Ideals of Minimal Nilpotent Orbits for Simple Lie Groups of Type A. IMRN, 2023, 5, 3814–3847 (March 2023) is available online at: https://doi.org/10.1093/imrn/rnab356
PISSN	1073-7928
EISSN	1687-0247
関連情報 (isVersionOf)	出版社版DOI https://doi.org/10.1093/imrn/rnab356