Schrodinger-Virasoro型李共形代数的共形双导子和自同构群  

Conformal Biderivations and Automorphism Groups of Schrodinger-Virasoro Type Lie Conformal Algebras

作　　者：王伟 夏春光 许莹 Wei WANG;Chun Guang XIA;Ying XU(School of Mathematics and Statistics,Ningria University,Yinchuan 750021,P.R.China;School of Mathematics,China University of Mining and Technology,Xuzhou 221116,P.R.China;School of Mathematics,Hefei University of Technology,Hefei 230009,P.R.China)

机构地区：[1]宁夏大学数学统计学院,银川750021 [2]中国矿业大学数学学院,徐州221116 [3]合肥工业大学数学学院,合肥230009

出　　处：《数学学报（中文版）》2022年第5期927-938,共12页Acta Mathematica Sinica：Chinese Series

基　　金：国家自然科学基金资助项目(11661063,12171132);中央高校基本科研业务费专项资金资助项目(2019QNA34,JZ2019HGTB0056)。

摘　　要：本文确定了两类Schrodinger-Virasoro型李共形代数TSV(a,b)和TSV(c)的共形双导子和自同构群.作为主要定理的推论,本文得到了李共形代数W(a,b)的共形双导子和自同构群.In this paper,conformal biderivations and automorphism groups of two classes of Schrodinger-Virasoro type Lie conformal algebras TSV(a,b)and TSV(c)are completely determined,respectively.The results for the Lie conformal algebras W(a,b)are also obtained as a corollary.

关 键 词：李共形代数 共形双导子 自同构群 

分 类 号：O152.5[理学—数学]