| 摘要: |
| 本文研究了无限维余Frobenius Hopf代数对角交叉积表示范畴刻画的问题.利用乘子Hopf代数以及同调代数理论中的方法，获得了无限维余Frobenius Hopf代数对角交叉积的表示范畴与广义YetterDrinfeld范畴同构的结果，推广了Panaite等人在有限维Hopf代数中的结果. |
| 关键词: 余Frobenius Hopf代数 对角交叉积 Yetter-Drinfel’d模 |
| DOI： |
| 分类号:O153.3 |
| 基金项目:Supported by China Postdoctoral Science Foundation (2019M651764), National Natural Science Foundation of China (11601231). |
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| THE REPRESENTATION CATEGORIES OF DIAGONAL CROSSED PRODUCTS OF INFINITE-DIMENSIONAL COFROBENIUS HOPF ALGEBRAS |
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YANG Tao, LIU Hui-li
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College of Science, Nanjing Agricultural University, Nanjing 210095, China
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| Abstract: |
| The categorical interpretations on representations of diagonal crossed products of infinite-dimensional coFrobenius Hopf algebras are studied in this paper. By the tools of multiplier Hopf algebra and homological algebra theories, we get that the unital representation category of a diagonal crossed product of an infinite-dimensional coFrobenius Hopf algebra is isomorphic to its generalized Yetter-Drinfeld category, which generalizes the results of Panaite et al. in finitedimensional case. |
| Key words: coFrobenius Hopf algebra diagonal crossed product Yetter-Drinfel'd module |
