3阶严格上三角矩阵代数上的Rota-Baxter算子

摘要

设F是域,研究域F上3阶严格上三角矩阵代数的Rota-Baxter算子,通过计算Rota-Baxter算子在基元素上的作用,确定了它所有的Rota-Baxter算子.%Let F be a field.The Rota-Baxter operators on the algebra of 3 × 3 strictly upper triangular matrices are studied.By computing the images of base elements under Rota-Baxter operators,all of the Rota-Baxter operators on the algebra of 3 × 3 strictly upper triangular matrices are determined.