Kronecker positivity and 2-modular representation theory
Representation Theory
2019-04-09 v3 Combinatorics
Abstract
This paper consists of two prongs. Firstly, we prove that any Specht module labelled by a 2-separated partition is semisimple and we completely determine its decomposition as a direct sum of graded simple modules. Secondly, we apply these results and other modular representation theoretic techniques on the study of Kronecker coefficients and hence verify Saxl's conjecture for a large new class of partitions.
Keywords
Cite
@article{arxiv.1903.07717,
title = {Kronecker positivity and 2-modular representation theory},
author = {C. Bessenrodt and C. Bowman and L. Sutton},
journal= {arXiv preprint arXiv:1903.07717},
year = {2019}
}
Comments
We have added a new result verifying Saxl's conjecture for all height zero characters