首页|Conformal Triple Derivations and Triple Homomorphisms of Lie Conformal Algebras

Conformal Triple Derivations and Triple Homomorphisms of Lie Conformal Algebras

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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.

triple derivationtriple homomorphismconformal algebra

Sania Asif、Lipeng Luo、Yanyong Hong、Zhixiang Wu

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School of Mathematics and Statistics Nanjing University of Information Science and Technology,Nanjing 210044,China

Department of Mathematics,Tongji University,Shanghai 200092,China

Department of Mathematics,Hangzhou Normal University,Hangzhou 311121,China

Department of Mathematics,Zhejiang University,Hangzhou 310027,China

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National Natural Science Foundation of ChinaNational Natural Science Foundation of ChinaNational Natural Science Foundation of ChinaZhejiang Provincial Natural Science Foundation of ChinaScientific Research Foundation of Hangzhou Normal UniversityFundamental Research Funds for the Central Universities

118714211217112912271406LY20A0100222019QDL01222120210554

2023

10.1142/S1005386723000214

代数集刊(英文版)

代数集刊(英文版)

CSCD北大核心
ISSN：1005-3867
年,卷(期)：2023.30(2)
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