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

共 14 条

[1] Integrals for monoidal Hom-Hopf algebras and their applications
Chen, Yuanyuan
Wang, Zhongwei
Zhang, Liangyun
JOURNAL OF MATHEMATICAL PHYSICS, 2013, 54 (07)
[2] HOPF-GALOIS EXTENSIONS FOR MONOIDAL HOM-HOPF ALGEBRAS
Chen, Yuanyuan
Zhang, Liangyun
COLLOQUIUM MATHEMATICUM, 2016, 143 (01) : 127 - 147
[3] Yetter-Drinfeld Modules forWeak Hom-Hopf Algebras
Guo, Shuangjian
Ke, Yuanyuan
FILOMAT, 2017, 31 (13) : 4069 - 4084
[4] Hom-L-R-smash products, Hom-diagonal crossed products and the Drinfeld double of a Hom-Hopf algebra
Makhlouf, Abdenacer
Panaite, Florin
JOURNAL OF ALGEBRA, 2015, 441 : 314 - 343
[5] Separable extensions for crossed products over monoidal Hom-Hopf algebras
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Chen, Yuanyuan
Zhang, Liangyun
JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2018, 17 (09)
[6] Crossed Products of Hom-Hopf Algebras
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Li, Yizheng
Guo, Shuangjian
FILOMAT, 2020, 34 (04) : 1295 - 1313
[7] QUASITRIANGULAR HOM-HOPF ALGEBRAS
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Wang, Zhongwei
Zhang, Liangyun
COLLOQUIUM MATHEMATICUM, 2014, 137 (01) : 67 - 88
[8] Symmetric pairs and pseudosymmetry of Θ-Yetter-Drinfeld categories for Hom-Hopf algebras
Liu, Wei
Fang, Xiaoli
OPEN MATHEMATICS, 2021, 19 (01): : 1231 - 1244
[9] Symmetry and pseudosymmetry of v-Yetter-Drinfeld categories for Hom-Hopf algebras
Fang, Xiao-Li
Kim, Tae-Hwa
Zhang, Xiao-Hui
INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2017, 14 (09)
[10] Hom-Hopf group coalgebras and braided T-categories obtained from Hom-Hopf algebras
You, Miman
Zhou, Nan
Wang, Shuanhong
JOURNAL OF MATHEMATICAL PHYSICS, 2015, 56 (11)

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