Generalized Racah Tensors and the Structure of Mixed Configurations

Abstract
Generalized Racah tensors are defined after the manner of Elliott and Feneuille. The linear combinations ±wk)(l, l′) used by them are redefined to permit the correct embedding of the group R4 in the higher groups that may be used to classify the states of mixed configurations. A number of points regarding the transformation properties of states and operators are clarified and related to the problem of the symmetrization of the Coulomb repulsion in mixed configuations.