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宇野 勝博 所属 京都産業大学 理学部 数理科学科 職種 客員教授 |
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| 言語種別 | 英語 |
| 発行・発表の年月 | 2001/12 |
| 形態種別 | 研究論文 |
| 査読 | 査読あり |
| 標題 | Character relations and simple modules in the Auslander-Reiten graph of the symmetric and alternating groups and their covering groups |
| 執筆形態 | 共著 |
| 掲載誌名 | ALGEBRAS AND REPRESENTATION THEORY |
| 掲載区分 | 国外 |
| 出版社・発行元 | KLUWER ACADEMIC PUBL |
| 巻・号・頁 | 4(5),pp.445-468 |
| 著者・共著者 | C Bessenrodt,K Uno |
| 概要 | From character relations for symmetric groups or Hecke algebras such as the Murnaghan-Nakayama formula and the Jantzen-Schaper formula, we obtain a lower bound for the diagonal entries of Cartan matrices. Moreover, we prove an analogous character relation for covering groups of symmetric groups and obtain a similar lower bound. As an application, we show in these situations that for wild blocks simple modules must lie at the end of the Auslander-Reiten quiver, which is equivalent to the fact that the hearts of projective indecomposable modules are indecomposable. |
| DOI | 10.1023/A:1012701002315 |
| ISSN | 1386-923X |