胞腔代数中的Rota-Baxter代数结构  

Rota-Baxter Algebra Structures Arising from Cellular Algebras

作　　者：李文秀 李彦博 LI Wenxiu;LI Yanbo(Department of Mathematics,School of Science,Northeastern University,Shenyang,Liaoning,110819,P.R.China;School of Mathematics and Statistics,Northeastern University at Qinhuangdao,Qinhuangdao,Hebei,066004,P.R.China)

机构地区：[1]东北大学理学院数学系,辽宁沈阳110819 [2]东北大学秦皇岛分校数学与统计学院,河北秦皇岛066004

出　　处：《数学进展》2024年第1期133-141,共9页Advances in Mathematics（China）

基　　金：Supported by NSFC(No.11871107);NSF of Hebei Province(No.A2021501002);China Scholarship Council(No.202008130184)。

摘　　要：一个带有非平凡幂等元的结合代数带有自然的Rota-Baxter代数结构.本文研究胞腔代数的不同拟幂等元给出的Rota-Baxter结构间的同构关系.An associative algebra with a nontrivial idempotent naturally admits a RotaBaxter structure.In this paper,we consider the isomorphic relationship among the Rota-Baxter algebra structures arising from different quasi-idempotents of a cellular algebra.

关 键 词：Rata-Baxter代数 Temperley-Lieb代数 胞腔代数 拟幂等元 

分 类 号：O153.3[理学—数学]