Computation of Dilated Kronecker Coefficients
Abstract
The computation of Kronecker coefficients is a challenging problem with a variety of applications. In this paper we present an approach based on methods from symplectic geometry and residue calculus. We outline a general algorithm for the problem and then illustrate its effectiveness in several interesting examples. Significantly, our algorithm does not only compute individual Kronecker coefficients, but also symbolic formulas that are valid on an entire polyhedral chamber. As a byproduct, we are able to compute several Hilbert series.
Cite
@article{arxiv.1601.04325,
title = {Computation of Dilated Kronecker Coefficients},
author = {Velleda Baldoni and Michèle Vergne and Michael Walter},
journal= {arXiv preprint arXiv:1601.04325},
year = {2017}
}
Comments
This article draws heavily from arXiv:1506.02472. It is an updated version of arXiv:1601.04325. We have clarified the structure and layout of the paper and we have isolated the algorithm into Appendix A, giving a concise exposition of it in pseudo-code and a detailed explanation of all steps, cross-referenced with the main text