Rota-Baxter operators on cocommutative Hopf algebras and Hopf braces
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , , , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2023
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866910501339922432 |
|---|---|
| author | Zheng, Huihui Guo, Li Ma, Tianshui Zhang, Liangyun |
| author_facet | Zheng, Huihui Guo, Li Ma, Tianshui Zhang, Liangyun |
| contents | This paper studies the relationship of Rota-Baxter operators on cocommutative Hopf algebras with Hopf braces and the Yang-Baxter equation, with emphasis on the embedding of cocommutative Hopf braces into Rota-Baxter Hopf algebras. Through Hopf braces, we establish a connection between relative Rota-Baxter operators on cocommutative Hopf algebras and bijective 1-cocycles. Finally, we introduce the notion of symmetric Hopf braces, and establish the relationship between symmetric Hopf braces and Rota-Baxter Hopf algebras. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2304_07684 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Rota-Baxter operators on cocommutative Hopf algebras and Hopf braces Zheng, Huihui Guo, Li Ma, Tianshui Zhang, Liangyun Quantum Algebra Rings and Algebras This paper studies the relationship of Rota-Baxter operators on cocommutative Hopf algebras with Hopf braces and the Yang-Baxter equation, with emphasis on the embedding of cocommutative Hopf braces into Rota-Baxter Hopf algebras. Through Hopf braces, we establish a connection between relative Rota-Baxter operators on cocommutative Hopf algebras and bijective 1-cocycles. Finally, we introduce the notion of symmetric Hopf braces, and establish the relationship between symmetric Hopf braces and Rota-Baxter Hopf algebras. |
| title | Rota-Baxter operators on cocommutative Hopf algebras and Hopf braces |
| topic | Quantum Algebra Rings and Algebras |
| url | https://arxiv.org/abs/2304.07684 |