Twisted Rota-Baxter operators on 3-Leibniz algebras and NS-3-Leibniz algebras
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866912548035493888 |
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| author | Teng, Wen |
| author_facet | Teng, Wen |
| contents | The purpose of this paper is to introduce the cohomology and deformations of twisted Rota-Baxter operators on 3-Leibniz algebras and NS-3-Leibniz algebras. We construct an $L_\infty$-algebra whose Maurer-Cartan elements are twisted Rota-Baxter operators, and we define the cohomology of a twisted Rota-Baxter operator. Then we consider formal and order $n$ deformations of twisted Rota-Baxter operators from cohomological points of view. Finally, we introduce and study NS-3-Leibniz algebras as the underlying structure of twisted Rota-Baxter operators on 3-Leibniz algebras. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_15775 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Twisted Rota-Baxter operators on 3-Leibniz algebras and NS-3-Leibniz algebras Teng, Wen Rings and Algebras The purpose of this paper is to introduce the cohomology and deformations of twisted Rota-Baxter operators on 3-Leibniz algebras and NS-3-Leibniz algebras. We construct an $L_\infty$-algebra whose Maurer-Cartan elements are twisted Rota-Baxter operators, and we define the cohomology of a twisted Rota-Baxter operator. Then we consider formal and order $n$ deformations of twisted Rota-Baxter operators from cohomological points of view. Finally, we introduce and study NS-3-Leibniz algebras as the underlying structure of twisted Rota-Baxter operators on 3-Leibniz algebras. |
| title | Twisted Rota-Baxter operators on 3-Leibniz algebras and NS-3-Leibniz algebras |
| topic | Rings and Algebras |
| url | https://arxiv.org/abs/2508.15775 |