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Classification of Irreducible (g, k)-Modules Associated to the Ideals of Minimal Nilpotent Orbits for Simple Lie Groups of Type A
| Title: | Classification of Irreducible (g, k)-Modules Associated to the Ideals of Minimal Nilpotent Orbits for Simple Lie Groups of Type A |
| Authors: | Tamori, Hiroyoshi Browse this author |
| Issue Date: | 21-Dec-2021 |
| Publisher: | Oxford University Press |
| Journal Title: | IMRN: International Mathematics Research Notices |
| Volume: | 2023 |
| Issue: | 5 |
| Start Page: | 3814 |
| End Page: | 3847 |
| Publisher DOI: | 10.1093/imrn/rnab356 |
| Abstract: | 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. |
| Rights: | 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 |
| Type: | article (author version) |
| URI: | http://hdl.handle.net/2115/88245 |
| 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)
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Submitter: 田森 宥好
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