Hom-O-Operators and Hom-Yang-Baxter Equations
Joint Authors
Source
Advances in Mathematical Physics
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-08-12
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
In Hom-Lie set, we introduce the concept of Hom-O-operators and study its relation with classical Hom-Yang-Baxter equation, as well as left-symmetric Hom-algebras.
We construct the corresponding relation between left-symmetric Hom-algebras and Hom-1-cocycles, which are both related to classical Hom-Yang-Baxter equation.
Moreover, in Hom-algebra setting, we establish the equivalent relationship between AHYBE (associative Hom-Yang-Baxter equations) and O-operators on Frobenius monoidal Hom-algebras.
American Psychological Association (APA)
Chen, Yuanyuan& Zhang, Liangyun. 2015. Hom-O-Operators and Hom-Yang-Baxter Equations. Advances in Mathematical Physics،Vol. 2015, no. 2015, pp.1-11.
https://search.emarefa.net/detail/BIM-1053029
Modern Language Association (MLA)
Chen, Yuanyuan& Zhang, Liangyun. Hom-O-Operators and Hom-Yang-Baxter Equations. Advances in Mathematical Physics No. 2015 (2015), pp.1-11.
https://search.emarefa.net/detail/BIM-1053029
American Medical Association (AMA)
Chen, Yuanyuan& Zhang, Liangyun. Hom-O-Operators and Hom-Yang-Baxter Equations. Advances in Mathematical Physics. 2015. Vol. 2015, no. 2015, pp.1-11.
https://search.emarefa.net/detail/BIM-1053029
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1053029