English

Data-scientific study of Kronecker coefficients

Representation Theory 2024-10-08 v2 Combinatorics

Abstract

We take a data-scientific approach to study whether Kronecker coefficients are zero or not. Motivated by principal component analysis and kernel methods, we define loadings of partitions and use them to describe a sufficient condition for Kronecker coefficients to be nonzero. The results provide new methods and perspectives for the study of these coefficients.

Cite

@article{arxiv.2310.17906,
  title  = {Data-scientific study of Kronecker coefficients},
  author = {Kyu-Hwan Lee},
  journal= {arXiv preprint arXiv:2310.17906},
  year   = {2024}
}
R2 v1 2026-06-28T13:03:28.811Z