扩张的圈Schr?dinger-Virasoro代数的二上同调群

SECOND COHOMOLOGY GROUPS OF THE EXTENDED LOOP SCH?DINGER-VIRASORO ALGEBRAS

本文研究了扩张的圈Schrodinger-Virasoro代数,给出了这类李代数的所有二上同调群,同时得到了这类李代数的所有泛中心扩张.

In this paper, we study the extended loop Schrodinger-Virasoro algebras and give the second cohomology groups of the extended loop Schrodinger-Virasoro algebras are determined. Moreover, we obtain the universal central extensions of the extended loop Schrodinger-Virasoro algebras are given.