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

页码：213 / 238

页数：26

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