Post-Lie conformal algebra structures on Lie conformal algebras
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866918389943894016 |
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| author | Yuan, Lamei Tan, Yuhui |
| author_facet | Yuan, Lamei Tan, Yuhui |
| contents | In this paper, we introduce and study post-Lie conformal algebras (PLCAs), a generalization of post-Lie algebras to conformal algebras. We establish an equivalence between PLCA structures and Rota-Baxter operators of weight 1 on Lie conformal algebras. We also show that every PLCA induces a new Lie conformal algebra and study PLCA structures on pairs of Lie conformal algebras. Finally, we classify all PLCA structures on two important classes of Lie conformal algebras: B(q) and W(b), achieved through Rota-Baxter operators of weight 1. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_14710 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Post-Lie conformal algebra structures on Lie conformal algebras Yuan, Lamei Tan, Yuhui Rings and Algebras 17A30, 17A60, 17B38, 17B68, 17B99 In this paper, we introduce and study post-Lie conformal algebras (PLCAs), a generalization of post-Lie algebras to conformal algebras. We establish an equivalence between PLCA structures and Rota-Baxter operators of weight 1 on Lie conformal algebras. We also show that every PLCA induces a new Lie conformal algebra and study PLCA structures on pairs of Lie conformal algebras. Finally, we classify all PLCA structures on two important classes of Lie conformal algebras: B(q) and W(b), achieved through Rota-Baxter operators of weight 1. |
| title | Post-Lie conformal algebra structures on Lie conformal algebras |
| topic | Rings and Algebras 17A30, 17A60, 17B38, 17B68, 17B99 |
| url | https://arxiv.org/abs/2603.14710 |