Simple modules for the partition algebra and monotone convergence of Kronecker coefficients
Representation Theory
2016-07-29 v1 Combinatorics
Abstract
We construct bases of the simple modules for partition algebras which are indexed by paths in an alcove geometry. This allows us to give a concrete interpretation (and new proof) of the monotone convergence property for Kronecker coefficients using stratifications of the cell modules of the partition algebra.
Keywords
Cite
@article{arxiv.1607.08495,
title = {Simple modules for the partition algebra and monotone convergence of Kronecker coefficients},
author = {C. Bowman and M. De Visscher and J. Enyang},
journal= {arXiv preprint arXiv:1607.08495},
year = {2016}
}