Local Derivations Of Some Lie Algebras

Derivations and generalized derivations(including 2-local derivations,biderivations)are important topics in the study of rings and algebraic structures.More and more scholars have paid attention to it in recent years.The Schr(?)dinger Lie group describes the symmetries of the Schr(?)dinger equation for free particles.The Lie algebra of the Schr(?)dinger Lie group.in(n+1)-dimensional space-time is called the Schr(?)dinger algebra,and Schrodinger algebra is a class of non-semisimplex Lie algebras,which play an important role in mathematics and physics.In this paper,we mainly study the derivations and biderivations of the Schrodinger algebra in(n+1)-dimensional space-time and the 2-local derivations of Schrodinger algebra in(1+1)-dimensional space-time.This thesis introduces the research significance,development prospects and trends at home and abroad and related definitions.The derivations and biderivations of Schr(?)dinger algebras in(n+1)-dimensional spacetime and their applications are described.and the conclusion that the 2-local derivations of Schrodinger algebras in(1+1)-dimensional spacetime are derivations is proved.