Hom-Yang-Baxter Equations and Frobenius Monoidal Hom-Algebras
It is shown that quasi-Frobenius Hom-Lie algebras are connected with a class of solutions of the classical Hom-Yang-Baxter equations. Moreover, a similar relation is discussed on Frobenius (symmetric) monoidal Hom-algebras and solutions of quantum Hom-Yang-Baxter equations. Monoidal Hom-Hopf algebra...
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2018/2912578 |
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| author | Yuanyuan Chen Liangyun Zhang |
| author_facet | Yuanyuan Chen Liangyun Zhang |
| author_sort | Yuanyuan Chen |
| collection | DOAJ |
| description | It is shown that quasi-Frobenius Hom-Lie algebras are connected with a class of solutions of the classical Hom-Yang-Baxter equations. Moreover, a similar relation is discussed on Frobenius (symmetric) monoidal Hom-algebras and solutions of quantum Hom-Yang-Baxter equations. Monoidal Hom-Hopf algebras with Frobenius structures are studied at last. |
| format | Article |
| id | doaj-art-998dc6ef6e6b47d19c6deced913a573b |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-998dc6ef6e6b47d19c6deced913a573b2025-02-03T01:28:25ZengWileyAdvances in Mathematical Physics1687-91201687-91392018-01-01201810.1155/2018/29125782912578Hom-Yang-Baxter Equations and Frobenius Monoidal Hom-AlgebrasYuanyuan Chen0Liangyun Zhang1College of Science, Nanjing Agricultural University, Nanjing, Jiangsu 210095, ChinaCollege of Science, Nanjing Agricultural University, Nanjing, Jiangsu 210095, ChinaIt is shown that quasi-Frobenius Hom-Lie algebras are connected with a class of solutions of the classical Hom-Yang-Baxter equations. Moreover, a similar relation is discussed on Frobenius (symmetric) monoidal Hom-algebras and solutions of quantum Hom-Yang-Baxter equations. Monoidal Hom-Hopf algebras with Frobenius structures are studied at last.http://dx.doi.org/10.1155/2018/2912578 |
| spellingShingle | Yuanyuan Chen Liangyun Zhang Hom-Yang-Baxter Equations and Frobenius Monoidal Hom-Algebras Advances in Mathematical Physics |
| title | Hom-Yang-Baxter Equations and Frobenius Monoidal Hom-Algebras |
| title_full | Hom-Yang-Baxter Equations and Frobenius Monoidal Hom-Algebras |
| title_fullStr | Hom-Yang-Baxter Equations and Frobenius Monoidal Hom-Algebras |
| title_full_unstemmed | Hom-Yang-Baxter Equations and Frobenius Monoidal Hom-Algebras |
| title_short | Hom-Yang-Baxter Equations and Frobenius Monoidal Hom-Algebras |
| title_sort | hom yang baxter equations and frobenius monoidal hom algebras |
| url | http://dx.doi.org/10.1155/2018/2912578 |
| work_keys_str_mv | AT yuanyuanchen homyangbaxterequationsandfrobeniusmonoidalhomalgebras AT liangyunzhang homyangbaxterequationsandfrobeniusmonoidalhomalgebras |