由相关代数结构导出的BiHom-Poisson共形超代数
BiHom-Poisson conformal superalgebras arising from related algebraic structures
- Université de N’Zérékoré（恩泽雷科雷大学）
- Institut Ouest Africain de Mathématiques（西非数学研究所）
机构由 AI 辅助整理，请以论文原文为准。
AI总结：
本文针对BiHom-Poisson共形超代数，给出其构造定理，证明其在扭转变换下封闭，还推导了其与正则BiHom-结合共形代数、Rota-Baxter算子、BiHom-结合超代数的关联及张量积性质，补充了从Hom-post-Poisson共形超代数的构造方法。
AI中文摘要：
受从其他代数结构构造新代数结构相关工作的启发，本文旨在给出BiHom-Poisson共形超代数的若干构造定理，该定理统一了Z2-分次泊松代数、BiHom-Poisson代数及其共形设定的概念。我们引入BiHom-Poisson共形超代数并证明其在扭转变换下是封闭的；随后证明任意正则BiHom-结合共形代数可通过换位子括号导出BiHom-Poisson共形代数；接着指出任意BiHom-Poisson共形超代数结合Rota-Baxter算子可生成另一个BiHom-Poisson共形超代数；还证明任意BiHom-结合超代数与任意BiHom-Poisson共形超代数的张量积仍是BiHom-Poisson共形超代数，同时给出从Hom-post-Poisson共形超代数出发的构造方法。
英文摘要：
Inspired from some works on constructions of algebraic structures from other ones, we purpose to give some construction theorems on BiHom-Poisson conformal superalgebras which unify the notion of the Z2 -graded Poisson algebras, the BiHom-Poisson algebras and their conformal setting. So, we introduce BiHom-Poisson conformal superalgebras and show that they are closed under twisting. We then prouve that any regular BiHom-associative conformal algebra leads to BiHom-Poisson conformal algebra via the commutator bracket. Then, we point out that any BiHom-Poisson conformal superalgebra together with Rota-Baxter operator give rises to another BiHom-Poisson conformal superalgebra. Next, we show that tensor prod- uct of any BiHom-associative superalgebra and any BiHom-Poisson conformal superalgebra is also a BiHom-Poisson conformal superalgebra. Contruction from Hom-post-Poisson conformal superalgebras is also given.
