Drinfeld Codoubles of Hom-Hopf Algebras

作者：Zhang, Xiaohui; Guo, Shuangjian; Wang, Shengxiang^*

来源：Advances in Applied Clifford Algebras, 2019, 29(2): 36.

DOI：10.1007/s00006-019-0949-0

• Hom-Hopf algebra
• Yetter-Drinfeld module
• Category center
• Drinfeld codouble

The main purpose of the present paper is to develop the theory of center constructions on Hom-Hopf algebras. Let H be a Hom-Hopf algebra, we first introduce the notions of nth Yetter-Drinfeld modules and mth Drinfeld codouble for H. Also we prove that the category YDHH (n) of nth Yetter-Drinfeld modules of H is a braided autonomous category. Finally, we show that YDHH(n) and Corepi,j(C Dm(H)) (i.e., the corepresentation category of the Drinfeld codouble of H) are braided isomorphic as the full subcategories of Corep(i,j)(H).

• 出版日期2019-4
• 单位贵州财经大学; 滁州学院; 曲阜师范大学