相容的Rota-Baxter约当代数  

Compatiable Rota-Baxter Jordan Algebra

作　　者：宋芸文 

机构地区：[1]辽宁师范大学数学学院,辽宁 大连

出　　处：《理论数学》2025年第1期282-292,共11页Pure Mathematics

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。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.

关 键 词：约当代数 Rota-Baxter算子 相容的Rota-Baxter约当代数 

分 类 号：O15[理学—数学]