Computation of dilated Kronecker coefficients

On rectangular Kronecker coefficients

We show that rectangular Kronecker coefficients stabilize when the lengths of the sides of the rectangle grow, and we give an explicit formula for the limit values in terms of invariants of sln.

Generalized Stability of Kronecker Coefficients

Kronecker coefficients are tensor product multiplicities for the irreducible representations of the symmetric group. In this paper, we identify directions in the parameter space for tensor products along which these multiplicities are monotone convergent, generalizing a classical result of Murnaghan.

On the asymptotics of Kronecker coefficients, 2

Kronecker coefficients encode the tensor products of complex irreducible representations of symmetric groups. Their stability properties have been considered recently by several authors (Vallejo, Pak and Panova, Stembridge). In [3] we described a geometric method, based on Schur-Weyl duality, that allows to produce huge series of instances of this phenomenon. In this note we show how to go beyo...

On the asymptotics of Kronecker coefficients

The complexity of computing Kronecker coefficients

Kronecker coefficients are the multiplicities in the tensor product decomposition of two irreducible representations of the symmetric group Sn. They can also be interpreted as the coefficients of the expansion of the internal product of two Schur polynomials in the basis of Schur polynomials. We show that the problem KRONCOEFF of computing Kronecker coefficients is very difficult. More specific...