Relative Rota-Baxter operators of weight 0 on groups, pre-groups, braces, the Yang-Baxter equation and $T$-structures
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| Format: | Preprint |
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2023
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| _version_ | 1866909600207339520 |
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| author | Li, Yunnan Sheng, Yunhe Tang, Rong |
| author_facet | Li, Yunnan Sheng, Yunhe Tang, Rong |
| contents | In this paper, we study relative Rota-Baxter operators of weight $0$ on groups and give various examples. In particular, we propose different approaches to study Rota-Baxter operators of weight $0$ on groups and Lie groups. We establish various explicit relations among relative Rota-Baxter operators of weight $0$ on groups, pre-groups, braces, set-theoretic solutions of the Yang-Baxter equation and $T$-structures. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_01337 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Relative Rota-Baxter operators of weight 0 on groups, pre-groups, braces, the Yang-Baxter equation and $T$-structures Li, Yunnan Sheng, Yunhe Tang, Rong Mathematical Physics Group Theory Rings and Algebras In this paper, we study relative Rota-Baxter operators of weight $0$ on groups and give various examples. In particular, we propose different approaches to study Rota-Baxter operators of weight $0$ on groups and Lie groups. We establish various explicit relations among relative Rota-Baxter operators of weight $0$ on groups, pre-groups, braces, set-theoretic solutions of the Yang-Baxter equation and $T$-structures. |
| title | Relative Rota-Baxter operators of weight 0 on groups, pre-groups, braces, the Yang-Baxter equation and $T$-structures |
| topic | Mathematical Physics Group Theory Rings and Algebras |
| url | https://arxiv.org/abs/2312.01337 |