FIXED POINTS SUBALGEBRA OF VERTEX OPERATOR ALGEBRAS ASSOCIATED TO AFFINE ALGEBRAS OF TYPE A

摘要

We construct vectors w(l)(,)(1) w(l)(,)(2) . . . , w(l)(1) which generate the fixed points subalgebra V-L(G) of V-L,V- where V-L is the vertex operator algebra associated to a basic representation of an affine algebra of type A and G is an automorphism group of V-L. The vectors w(l)(1), . . . , w(l)(2) which are the highest weight vectors for the Lie algebra sl(l+1) and w(l)(1) is just the conformal vector.