A Class of Graded Conformal Algebras Which is Induced by w(2,2)Conformal Algebra
In this paper,we classify Z-graded quadratic Lie conformal algebras A=⊕∞i=-1Ai satisfying the following conditions:(C1)A0 is the w(2,2)Lie conformal algebra;(C2)Each Ai for i ∈ Z*≥-1 is an A0-module of rank one;(C3)[A-1λAi]≠{0}for i∈Z≥1.
graded Lie conformal algebrasw(2,2)conformal algebraconformal modules of rank one