Derivations and 2-Local Derivations on the BMS-Weyl Algebra  

BMS-Weyl代数上的导子与2-局部导子

作　　者：LU Weizhao HU Xindan GAO Shoulan 卢伟钊;胡馨丹;高寿兰(上海师范大学数理学院,上海200233;湖州师范学院理学院,浙江湖州313000)

机构地区：[1]Mathematics and Science College,Shanghai Normal University,Shanghai 200233,China [2]School of Science,Huzhou University,Huzhou 313000,China

出　　处：《湖州师范学院学报》2024年第10期1-6,共6页Journal of Huzhou University

基　　金：National Natural Science Foundation of China(11971315)。

摘　　要：Using the theory of derivations on finitely generated and graded Lie algebras, we determine that derivations of the BMS-Weyl algebra are all inner. On this basis, it is proved that every 2-local derivation of the BMS-Weyl algebra is a derivation.利用有限生成的阶化李代数导子理论,确定BMS-Weyl代数的导子均为内导子,并在此基础上,证明BMS-Weyl代数上的2-局部导子均为导子.

关 键 词：BMS-Weyl algebra DERIVATION inner derivation 2-local derivation 

分 类 号：O151.2[理学—数学]