Yetter-Drinfeld Modules forWeak Hom-Hopf Algebras

被引：1
|
作者：
Guo, Shuangjian [1 ]
Ke, Yuanyuan [2 ]
机构：
[1] Guizhou Univ Finance & Econ, Sch Math & Stat, Guiyang 550025, Guizhou, Peoples R China
[2] Jianghan Univ, Sch Math & Comp Sci, Wuhan 430056, Hubei, Peoples R China
来源：
FILOMAT | 2017年 / 31卷 / 13期
关键词：
Yetter-Drinfeld module; braided monoidal category; (co)quasitriangular; weak-Hom type entwined-module; LIE-ALGEBRAS; DEFORMATIONS;
D O I：
10.2298/FIL1713069G
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The aim of this paper is to define and study Yetter-Drinfeld modules over weak Hom-Hopf algebras. We show that the category HWYDH of Yetter-Drinfeld modules with bijective structure maps over weak Hom-Hopf algebras is a rigid category and a braided monoidal category, and obtain a new solution of quantum Hom-Yang-Baxter equation. It turns out that, If H is quasitriangular (respectively, coquasitriangular) weak Hom-Hopf algebras, the category of modules (respectively, comodules) with bijective structure maps over H is a braided monoidal subcategory of the category HWYDH of Yetter-Drinfeld modules over weak Hom-Hopf algebras.
引用
收藏
页码：4069 / 4084
页数：16
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