顶点融合范畴的Z2-扩张及应用  

Z2-extensions of a pointed fusion category and applications

作　　者：戴丽 DAI Li(College of Science,Nanjing Agricultural University,Nanjing 210031,Jiangsu,China)

机构地区：[1]南京农业大学理学院,江苏南京210031

出　　处：《山东大学学报（理学版）》2020年第12期93-96,共4页Journal of Shandong University(Natural Science)

摘　　要：利用非可逆单对象与其对偶的张量积分解,研究了顶点融合范畴的Z2-扩张。然后给出此类融合范畴的泛分次结构,并讨论了它在半单Hopf代数分类中的应用。Using the decomposition of the tensor product of a non-invertible simple object and its dual,the Z2-extensions of a pointed fusion category is studied.Then the universal grading structure of this class of fusion categories is given and their applications in the classification of semisimple Hopf algebras are discussed.

关 键 词：融合范畴 扩张 泛分次 半单HOPF代数 

分 类 号：O153[理学—数学]