GROUP ALGEBRAS AND TENSOR OPERATORS.

The conditions under which class sum operators for a finite group are hermitian are discussed. A class of linear mapping within the group algbra is treated, together with methods of obtaining elements which are symmetry adapted with respect to these mappings. Traditional tensor operators are treated as symmetry adapted elements of the group algebra, and the absence of certain types of tensor operator from the group algebra of direct product groups is discussed. The relevance of the work to operator equivalent theory is briefly indicated.