Frölicher-Nijenhuis bracket and derived bracket associated to a nonsymmetric operad with multiplication
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866910927557754880 |
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| author | Baishya, Anusuiya Das, Apurba |
| author_facet | Baishya, Anusuiya Das, Apurba |
| contents | This paper aims to construct two graded Lie algebras associated with a nonsymmetric operad with multiplication. Maurer-Cartan elements of these graded Lie algebras correspond respectively to Nijenhuis elements and Rota-Baxter elements for the given multiplication. Explicit forms of these brackets are given to study Nijenhuis operators and Rota-Baxter operators on some Loday-type algebras. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_02044 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Frölicher-Nijenhuis bracket and derived bracket associated to a nonsymmetric operad with multiplication Baishya, Anusuiya Das, Apurba Rings and Algebras 16E40, 16W99, 17B70, 18M65 This paper aims to construct two graded Lie algebras associated with a nonsymmetric operad with multiplication. Maurer-Cartan elements of these graded Lie algebras correspond respectively to Nijenhuis elements and Rota-Baxter elements for the given multiplication. Explicit forms of these brackets are given to study Nijenhuis operators and Rota-Baxter operators on some Loday-type algebras. |
| title | Frölicher-Nijenhuis bracket and derived bracket associated to a nonsymmetric operad with multiplication |
| topic | Rings and Algebras 16E40, 16W99, 17B70, 18M65 |
| url | https://arxiv.org/abs/2505.02044 |