Quasi-triangular, factorizable anti-dendriform bialgebras and relative Rota-Baxter operators
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , |
|---|---|
| Format: | Preprint |
| Publié: |
2025
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866917363824197632 |
|---|---|
| author | Sun, Qinxiu Wu, Min |
| author_facet | Sun, Qinxiu Wu, Min |
| contents | We introduce the notion of quasi-triangular anti-dendriform bialgebras, which can be induced by the solutions of the AD-YBE whose symmetric parts are invariant. A factorizable anti-dendriform bialgebra leads to a factorization of the underlying anti-dendriform algebra. Moreover, relative Rota-Baxter operators with weights are introduced to characterize the solutions of the AD-YBE whose symmetric parts are invariant. Finally, we interpret factorizable anti-dendriform bialgebras in terms of quadratic Rota-Baxter anti-dendriform algebras. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_01650 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Quasi-triangular, factorizable anti-dendriform bialgebras and relative Rota-Baxter operators Sun, Qinxiu Wu, Min Rings and Algebras 17A30, 17A36, 17B38, 17B40, 16T10 We introduce the notion of quasi-triangular anti-dendriform bialgebras, which can be induced by the solutions of the AD-YBE whose symmetric parts are invariant. A factorizable anti-dendriform bialgebra leads to a factorization of the underlying anti-dendriform algebra. Moreover, relative Rota-Baxter operators with weights are introduced to characterize the solutions of the AD-YBE whose symmetric parts are invariant. Finally, we interpret factorizable anti-dendriform bialgebras in terms of quadratic Rota-Baxter anti-dendriform algebras. |
| title | Quasi-triangular, factorizable anti-dendriform bialgebras and relative Rota-Baxter operators |
| topic | Rings and Algebras 17A30, 17A36, 17B38, 17B40, 16T10 |
| url | https://arxiv.org/abs/2507.01650 |