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On minimal quasitriangular pointed Hopf~ algebras
http://hdl.handle.net/2261/43527
http://hdl.handle.net/2261/43527d8ea05bf-502b-48e1-990a-78961cb4d611
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
jms160404.pdf (237.5 kB)
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| Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
|---|---|---|---|---|---|---|
| 公開日 | 2011-04-06 | |||||
| タイトル | ||||||
| タイトル | On minimal quasitriangular pointed Hopf~ algebras | |||||
| 言語 | ||||||
| 言語 | eng | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | Hopf algebra | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | Nichols algebra | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | generalized quantum double | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | quasitriangular | |||||
| 資源タイプ | ||||||
| 資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||
| 資源タイプ | departmental bulletin paper | |||||
| 著者 |
Masuoka, Akira
× Masuoka, Akira |
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| 抄録 | ||||||
| 内容記述タイプ | Abstract | |||||
| 内容記述 | The quantized enveloping algebra Uq is constructed as a quotient of the generalized quantum double U≤0 q τ U≥0 q associated to a natural skew pairing τ : U≤0 q ⊗ U≥0 q → k. This double is generalized by D = (B(V ) > F) τ (B(W) > G), where F, G are abelian groups, V ∈ FF YD, W ∈ GG YD are Yetter-Drinfeld modules and B(V ), B(W) are their Nichols algebras. We prove some results on Hopf ideals of D, including a characterization of what we call thin Hopf ideals. As an application we give an explicit description of those minimal quasitriangular pointed Hopf algebras in characteristic zero which are generated by skew primitives. | |||||
| 書誌情報 |
Journal of mathematical sciences, the University of Tokyo 巻 16, 号 4, p. 545-576, 発行日 2010-03-25 |
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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 | ||||||
| 値 | MR | |||||
| Mathmatical Subject Classification | ||||||
| 値 | 16W30(MSC2000) | |||||
| Mathmatical Subject Classification | ||||||
| 値 | 17B37(MSC2000) | |||||
| 出版者 | ||||||
| 出版者 | Graduate School of Mathematical Sciences, The University of Tokyo | |||||
| 原稿受領日 | ||||||
| 値 | 2009-12-18 | |||||
