頁籤選單縮合
| 題 名 | Maschke-Type Theorem and Duality Theorem for Weak Twisted Smash Products |
|---|---|
| 作 者 | 周小燕; | 書刊名 | Taiwanese Journal of Mathematics |
| 卷 期 | 15:6 2011.12[民100.12] |
| 頁 次 | 頁2701-2719 |
| 分類號 | 313 |
| 關鍵詞 | Weak Hopf algebras; Weak twisted smash products; Maschke-type theorem; Duality theorem; |
| 語 文 | 英文(English) |
| 英文摘要 | Let H be a weak Hopf algebra in the sense of B"{o}hm and Szlach'{a}nyi [3] and A a weak H-bimodule algebra. Then in this paper we first introduce the notion of a weak twisted smash product A⋆H and then find some sufficient and necessary conditions making it into a weak bialgebra. Furthermore, we give a Maschke-type theorem for the weak twisted smash product over semisimple weak Hopf algebra H, which generalizes the well-known Maschke-type theorem in [5, 15, 17]. Finally, we obtain an analogue of the duality theorem for the weak twisted smash products. |
本系統中英文摘要資訊取自各篇刊載內容。