相容的Rota-Baxter约当代数
Compatiable Rota-Baxter Jordan Algebra
摘要: 本文探讨了Rota-Baxter约当代数的表示及二维约当代数上可容许的伴随线性映射的构造。首先，引入了Rota-Baxter约当代数的定义，然后研究了两个Rota-Baxter约当代数相容的条件。最后构造了二维Rota-Baxter约当代数上可容许的伴随线性映射。
Abstract: This paper explores the representation of Jordan algebra and the construction of adjoint-admissiable linear map on two-dimensional Jordan algebra. First, the definition of Rota-Baxter Jordan algebra is introduced. Then, the equivalent condition of two compatible Rota-Baxter Jordan algebras is studied. Finally, adjoint-admissiable linear map on two-dimensional Jordan algebra is constructed.
文章引用：宋芸文. 相容的Rota-Baxter约当代数[J]. 理论数学, 2025, 15(1): 282-292. https://doi.org/10.12677/pm.2025.151031

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