The Galois Correspondence in Field Algebra of Gspin Model

Suppose that G is a finite group and D(G) the double algebra of G. For a given subgroup H of G, there is a subHopf algebra D(G;H) of D(G). This paper gives the concrete construction of a D(G;H)invariant subspace A H in field algebra of Gspin model and proves that if H is a normal subgroup of G, then A H is Galois closed.