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A maschke type theorem for weak Hopf algebras

✍ Scribed by J. N. Alonso Álvarez; J. M. Fernández Vilaboa; R. González Rodríguez; A. B. Rodríguez Raposo

Publisher
Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
2008
Tongue
English
Weight
285 KB
Volume
24
Category
Article
ISSN
1439-7617

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A Maschke Type Theorem for Doi–Hopf Modu
A Maschke Type Theorem for Doi–Hopf Modules and Applications
✍ S. Caenepeel; G. Militaru; Zhu Shenglin 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 239 KB

We prove a Maschke type theorem for Doi᎐Hopf modules. A sufficient condition in order to have a Maschke type property is that there exists a normalized integral map for the Doi᎐Hopf datum in question. The results are applied to graded modules and to Yetter᎐Drinfel'd modules. As another application,