On the asymptotics of Kronecker coefficients, 2

Kronecker coefficients encode the tensor products of complex irreducible\nrepresentations of symmetric groups. Their stability properties have been\nconsidered recently by several authors (Vallejo, Pak and Panova, Stembridge).\nIn previous works we described a geometric method, based on Schur-Weyl duality,\nthat allows to produce huge series of instances of this phenomenon. In this\nnote we show how to go beyond these so-called additive triples. We show that\nthe set of stable triples defines a union of faces of the moment polytope.\nMoreover these faces may have different dimensions, and many of them have\ncodimension one.\n