On mixed products of complex characters of the double covers of the symmetric groups

In this article, two families of (almost) homogeneous mixed Kronecker products of non-faithful and of spin characters of the double covers of the symmetric groups are described. This is then applied to classify the irreducible mixed products, thus completing the classification of all irreducible Kronecker products of characters of the double covers of the symmetric groups. 1. Introduction. Kronecker products of complex characters of the symmetric group Sn have been studied in many papers. Information on special products and on the coefficients of special constituents have been obtained but there is no ef-ficient combinatorial algorithm in sight for computing these products. I