Geodesic
A generalized double crossproduct for monoidal Hom-Hopf algebras and the Drinfeld double
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
Colloquium Mathematicum, Tome 146 (2017) no. 2, pp. 213-238 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/cm6633-3-2016
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

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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     title = {A generalized double crossproduct for monoidal {Hom-Hopf} algebras and the {Drinfeld} double},
     journal = {Colloquium Mathematicum},
     pages = {213--238},
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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

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