A GENERALIZED DOUBLE CROSSPRODUCT FOR MONOIDAL HOM-HOPF ALGEBRAS AND THE DRINFELD DOUBLE

被引：2
|
作者：
You, Miman [1 ]
Wang, Shuanhong [2 ]
机构：
[1] North China Univ Resources Elect Power, Sch Math & Informat Sci, Zhengzhou 450045, Henan, Peoples R China
[2] Southeast Univ, Dept Math, Nanjing 210096, Jiangsu, Peoples R China
来源：
COLLOQUIUM MATHEMATICUM | 2017年 / 146卷 / 02期
关键词：
monoidal Horn-Hopf algebra; generalized double Hom-crossproduct; braided monoidal Horn-category; quantum Yang Baxter Horn-operator; LIE-ALGEBRAS; VIRASORO ALGEBRA;
D O I：
10.4064/cm6633-3-2016
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A twisted generalization of a double crossproduct called a generalized double Hom-crossproduct is introduced. We give conditions under which this new monoidal Hom-algebra is a monoidal Hom-Hopf algebra. Moreover, its coquasitriangular structure is described. Finally, we also construct a new braided monoidal Hom-category H((J)(J)Mod(Q)(Q)) obtained from the structure of the generalized double Hom-crossproduct, and establish a kind of new quantum Yang-Baxter Hom-operators.
引用
收藏
页码：213 / 238
页数：26
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