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

页码：4069 / 4084

页数：16

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