Study On Affine Schr (?) Dinger Algebra

Affine Lie algebra is a hot topic in the study of Lie theory, and it has signifi-cant applications. This paper concentrates on the algebra structure of the infinite dimensional affine Schrodinger algebra. In the first chapter of this paper, the devel-opment of Lie algebra, the research background of affine Schrodinger algebra and its development overview are briefly introduced. The second chapter firstly introduces the derivation algebra of Lie algebra, the concepts of affine Schrodinger algebra and other related basic knowledge; secondly gives some relevant lemmas and theorems about the derivation algebra of the affine Schrodinger algebra, In the third chapter, the concept of the2-cocycle is firstly reviewed; secondly studies the2-cocycles of affine Schrodinger algebra, then its central expansion and universal central expan-sion are further identified; finally we give the concept of Leibniz algebra and study the universal central expansion of the affine Schrodinger algebra in the category of Leibniz algebra.