1School of Mathematics and Information Science North China University of Resources of Electric Power Henan, Zhengzhou 450045, P.R. China 2Department of Mathematics Southeast University Jiangsu, Nanjing 210096, P.R. China
Colloquium Mathematicum, Tome 146 (2017) no. 2, pp. 213-238
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 $\widetilde{\mathcal{H}}(_{J}^{J}\operatorname{Mod}^Q_Q)$ obtained from
the structure of the generalized double Hom-crossproduct, and
establish a kind of new quantum Yang–Baxter Hom-operators.
Keywords:
twisted generalization double crossproduct called generalized double hom crossproduct introduced conditions under which monoidal hom algebra monoidal hom hopf algebra moreover its coquasitriangular structure described finally construct braided monoidal hom category widetilde mathcal operatorname mod obtained structure generalized double hom crossproduct establish kind quantum yang baxter hom operators
Affiliations des auteurs :
Miman You
1
;
Shuanhong Wang
2
1
School of Mathematics and Information Science North China University of Resources of Electric Power Henan, Zhengzhou 450045, P.R. China
2
Department of Mathematics Southeast University Jiangsu, Nanjing 210096, P.R. China
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author = {Miman You and Shuanhong Wang},
title = {A generalized double crossproduct for monoidal {Hom-Hopf} algebras and the {Drinfeld} double},
journal = {Colloquium Mathematicum},
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year = {2017},
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language = {en},
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Miman You; Shuanhong Wang. A generalized double crossproduct for monoidal Hom-Hopf algebras and the Drinfeld double. Colloquium Mathematicum, Tome 146 (2017) no. 2, pp. 213-238. doi: 10.4064/cm6633-3-2016
