Journal of Jilin University Science Edition ›› 2022, Vol. 60 ›› Issue (3): 591-596.

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Local Automorphisms and Local Derivations of Low-Dimensional Non Decomposable Nilpotent Leibniz Algebras#br#

FU Zhen, LIU Wende   

  1. School of Mathematics and Statistics, Hainan Normal University, Haikou 571158
  • Received:2021-08-23 Online:2022-05-26 Published:2022-05-26

Abstract: We discussed the problems of the abstract representation of local automorphisms and local derivations by using matrix theory, and gave the matrix expressions of local automorphisms and local derivations of three-dimensional nilpotent Leibniz algebras that could not be decomposed in complex field as well as the representation of local automorphisms and local derivations.

Key words: nilpotent Leibniz algebra, local automorphism, local derivation

CLC Number: 

  • O151.2