摘要: A finite W -algebra U(g, e) is a certain finitely generated algebra that can be viewed as the enveloping of Slodowy slice to adjoint orbit nilpotent element e complex reductive Lie g. It possible give tensor product e)-module with dimensional U(g)-module structure e)-module; we refer such products translations. In this paper, present number fundamental properties these translations, which are expected importance in understanding representation theory e).