Constructing Braided Hopf Algebras in Monoidal Hom-category

In this paper, we first define the coquasitriangular monoidal Hom-Hopf algebras. Secondly, we present a method to construct braided monoidal Hom-Hopf algebras B ̄ andḆin Yetter-Drinfeld category H ~ ( H Y D 1 H ) and H ~ ( H Y D 2 H ) respectively. As applications, we study some special cases in bo...

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Bibliographic Details
Published in:Taiwanese journal of mathematics 2016-12, Vol.20 (6), p.1203-1230
Main Authors: You, Miman, Wang, Shuanhong
Format: Article
Language:English
Subjects:
Algebra
Axioms
Braiding
Linear transformations
Mathematical objects
Morphisms
Tensors
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Summary:In this paper, we first define the coquasitriangular monoidal Hom-Hopf algebras. Secondly, we present a method to construct braided monoidal Hom-Hopf algebras B ̄ andḆin Yetter-Drinfeld category H ~ ( H Y D 1 H ) and H ~ ( H Y D 2 H ) respectively. As applications, we study some special cases in both module and comodule form for (H, ξH) being quasitriangular and for (H, ξH) being coquasitriangular respectively. Finally, we give some applications and examples of braided monoidal Hom-Hopf algebras in this article.
ISSN:1027-5487
2224-6851
DOI:10.11650/tjm.20.2016.6013