On Kronecker products of spin characters of the double covers of the symmetric groups

In this article, restrictions on the constituents of Kronecker products of spin characters of the double covers of the sym-metric groups are derived. This is then used to classify homo-geneous and irreducible products of spin characters; as an ap-plication of this, certain homogeneous 2-modular tensor prod-ucts for the symmetric groups are described. 1. Introduction. In recent years, a number of results on Kronecker products of complex Sn-characters have been obtained. In particular, the rectangular hull for the constituents in such products was found, and this was used for the clas-sification of products with few homogeneous components; see [1] for thi