Conformal Triple Derivations and Triple Homomorphisms of Lie Conformal Algebras  

作　　者：Sania Asif Lipeng Luo Yanyong Hong Zhixiang Wu 

机构地区：[1]School of Mathematics and Statistics Nanjing University of Information Science and Technology,Nanjing 210044,China [2]Department of Mathematics,Tongji University,Shanghai 200092,China [3]Department of Mathematics,Hangzhou Normal University,Hangzhou 311121,China [4]Department of Mathematics,Zhejiang University,Hangzhou 310027,China

出　　处：《Algebra Colloquium》2023年第2期263-280,共18页代数集刊（英文版）

基　　金：Supported by the National Natural Science Foundation of China(11871421,12171129,12271406);Zhejiang Provincial Natural Science Foundation of China(LY20A010022);Scientific Research Foundation of Hangzhou Normal University(2019QDL012);Fundamental Research Funds for the Central Universities(22120210554).

摘　　要：Let R be a finite Lie conformal algebra.We investigate the conformal deriva-tion algebra CDer(R),conformal triple derivation algebra CTDer(R)and generalized con-formal triple derivation algebra GCTDer(R),focusing mainly on the connections among these derivation algebras.We also give a complete classification of(generalized)con-formal triple derivation algebras on all finite simple Lie conformal algebras.In partic-ular,CTDer(R)=CDer(R),where R is a finite simple Lie conformal algebra.But for GCDer(R),we obtain a conclusion that is closely related to CDer(R).Finally,we introduce the definition of a triple homomorphism of Lie conformal algebras.Triple homomorphisms of all finite simple Lie conformal algebras are also characterized.

关 键 词：triple derivation triple homomorphism conformal algebra 

分 类 号：O152.5[理学—数学]