The partition algebra and the Kronecker coefficients
Representation Theory
2013-02-26 v6 Combinatorics
Abstract
We propose a new approach to study the Kronecker coefficients by using the Schur-Weyl duality between the symmetric group and the partition algebra. We explain the limiting behavior and associated bounds in the context of the partition algebra. Our analysis leads to a uniform description of the Kronecker coefficients when one of the indexing partitions is a hook or a two-part partition.
Cite
@article{arxiv.1210.5579,
title = {The partition algebra and the Kronecker coefficients},
author = {Christopher Bowman and Maud De Visscher and Rosa Orellana},
journal= {arXiv preprint arXiv:1210.5579},
year = {2013}
}
Comments
This version contains a uniform description of the Kronecker coefficients when one of the indexing partitions is a hook or a two-part partition