数学杂志2021，Vol.41Issue(6)：495-502,8.
无限维余Frobenius Hopf代数对角交叉积的表示范畴
THE REPRESENTATION CATEGORIES OF DIAGONAL CROSSED PRODUCTS OF INFINITE-DIMENSIONAL COFROBENIUS HOPF ALGEBRAS
摘要
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 finite-dimensional case.关键词
余Frobenius Hopf代数/对角交叉积/Yetter-Drinfel'd模Key words
coFrobenius Hopf algebra/diagonal crossed product/Yetter-Drinfel'd module分类
数理科学引用本文复制引用
杨涛,刘慧丽..无限维余Frobenius Hopf代数对角交叉积的表示范畴[J].数学杂志,2021,41(6):495-502,8.基金项目
Supported by China Postdoctoral Science Foundation(2019M651764),National Natural Science Foundation of China(11601231). （2019M651764）
