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On the Fusion Algebras of Bimodules Arising from Goodman-de la Harpe-Jones Subfactors
http://hdl.handle.net/2261/59026
http://hdl.handle.net/2261/59026f8044fd2-86f1-45d3-b6fa-0dca50d9c063
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
jms190401.pdf (61.7 MB)
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| Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
|---|---|---|---|---|---|---|
| 公開日 | 2015-12-15 | |||||
| タイトル | ||||||
| タイトル | On the Fusion Algebras of Bimodules Arising from Goodman-de la Harpe-Jones Subfactors | |||||
| 言語 | ||||||
| 言語 | eng | |||||
| 資源タイプ | ||||||
| 資源 | http://purl.org/coar/resource_type/c_6501 | |||||
| タイプ | departmental bulletin paper | |||||
| 著者 |
Goto, Satoshi
× Goto, Satoshi |
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| 著者所属 | ||||||
| 著者所属 | Department of Information and Communication Sciences, Sophia University | |||||
| 抄録 | ||||||
| 内容記述タイプ | Abstract | |||||
| 内容記述 | By using Ocneanu’s result on the classification of all irreducible connections on the Dynkin diagrams, we show that the dual principal graphs as well as the fusion rules of bimodules arising from any Goodman-de la Harpe-Jones subfactors are obtained by a purely combinatorial method. In particular we obtain the dual principal graph and the fusion rule of bimodules arising from the Goodmande la Harpe-Jones subfactor corresponding to the Dynkin diagram E8. As an application, we also show some subequivalence among A-D-E paragroups. | |||||
| 書誌情報 |
Journal of mathematical sciences, the University of Tokyo 巻 19, 号 4, p. 409-506, 発行日 2013-03-15 |
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| ISSN | ||||||
| 収録物識別子タイプ | ISSN | |||||
| 収録物識別子 | 13405705 | |||||
| 書誌レコードID | ||||||
| 収録物識別子タイプ | NCID | |||||
| 収録物識別子 | AA11021653 | |||||
| 日本十進分類法 | ||||||
| 主題Scheme | NDC | |||||
| 主題 | 415 | |||||
| Mathematical Reviews Number | ||||||
| MR | ||||||
| Mathmatical Subject Classification | ||||||
| 46L37(MSC2010) | ||||||
| 出版者 | ||||||
| 出版者 | Graduate School of Mathematical Sciences, The University of Tokyo | |||||
| 原稿受領日 | ||||||
| 2009-03-04 | ||||||
