摘要
We shall prove two theorems on the change of ground-fields of aigebras dual to the Mackey’s Subgroup Theorem in group representations, and, as an application, deduce a result on extensions of ground-fields analogous to the Gliford’s Theorem in group representations. These phenomena show that there is some duality between the change of ground-fields of algebras and that of subgroups in representations of groups.
