科研之友
微信
新浪微博
Facebook
分享链接
摘要
Let (H,alpha) and (B,beta) be two monoidal Hom-Hopf algebras. We introduce the notion of a generalized Hom-Long dimodule and show that the category L-B(H) of generalized Hom-Long dimodules is an autonomous category. We prove that L-B(H) is a braided monoidal category if (H,alpha) is quasitriangular and (B,beta) is coquasitriangular, and we show that L-B(H) is a subcategory of the Hom-Yetter-Drinfeld category (H circle times BHYD)-H-H circle times B. Moreover, we prove that the category of Hom-modules (resp., Hom-comodules) over a triangular (resp., cotriangular) Hom-Hopf algebra contains a symmetric generalized Hom-Long dimodule category.
