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The Hom-Long dimodule category and nonlinear equations.
- Source :
-
Electronic Research Archive . 2022, Vol. 30 Issue 1, p1-20. 20p. - Publication Year :
- 2022
-
Abstract
- In this paper, we construct a kind of new braided monoidal category over two Hom-Hopf algerbas (H , α) and (B , β) and associate it with two nonlinear equations. We first introduce the notion of an (H , B) -Hom-Long dimodule and show that the Hom-Long dimodule category H B L is an autonomous category. Second, we prove that the category H B L is a braided monoidal category if (H , α) is quasitriangular and (B , β) is coquasitriangular and get a solution of the quantum Yang-Baxter equation. Also, we show that the category H B L can be viewed as a subcategory of the Hom-Yetter-Drinfeld category H ⊗ B H ⊗ B H Y D . Finally, we obtain a solution of the Hom-Long equation from the Hom-Long dimodules. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 26881594
- Volume :
- 30
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Electronic Research Archive
- Publication Type :
- Academic Journal
- Accession number :
- 178382932
- Full Text :
- https://doi.org/10.3934/era.2022019