19 citations · 52 across the 7 of their papers we have counts for
8 papers
On the computation of Kronecker coefficients I: column-row polytopes
Ernesto Vallejo, Pedro David Sánchez Salazar
We present a way of computing Kronecker coefficients that uses a new family of rational convex polytopes, called column-row polytopes. We give several different formulas for the co…
Stability of Kronecker coefficients via discrete tomography
Ernesto Vallejo
In this paper we give a new sufficient condition for a general stability of Kronecker coefficients, which we call it additive stability. It was motivated by a recent talk of J. Ste…
A diagrammatic approach to Kronecker squares
Ernesto Vallejo
In this paper we apply a method of Robinson and Taulbee for computing Kronecker coefficients together with other ingredients and show that the multiplicity of each component in a K…
Kronecker products, characters, partitions, and the tensor square conjectures
Igor Pak, Greta Panova, Ernesto Vallejo
We study the remarkable Saxl conjecture which states that tensor squares of certain irreducible representations of the symmetric groups S_n contain all irreducibles as their consti…
Kronecker products and the RSK correspondence
Diana Avella-Alaminos, Ernesto Vallejo
The starting point for this work is an identity that relates the number of minimal matrices with prescribed 1-marginals and coefficient sequence to a linear combination of Kronecke…
A stability property for coefficients in Kronecker products of complex S_n characters
Ernesto Vallejo
In this note we make explicit a stability property for Kronecker coefficients that is implicit in a theorem of Y. Dvir. Even in the simplest nontrivial case this property was overl…