On signed p-Kostka numbers and the indecomposable signed Young permutation modules
Representation Theory
2016-10-04 v3
Abstract
We prove the existence and main properties of signed Young modules for the symmetric group, using only basic facts about symmetric group representations and the Brou{\'e} correspondence. We then prove new reduction theorems for the signed -Kostka numbers, defined to be the multiplicities of signed Young modules as direct summands of signed Young permutation modules. We end by classifying the indecomposable signed Young permutation modules and determining their endomorphism algebras.
Cite
@article{arxiv.1505.01073,
title = {On signed p-Kostka numbers and the indecomposable signed Young permutation modules},
author = {Eugenio Giannelli and Kay Jin Lim and William O'Donovan and Mark Wildon},
journal= {arXiv preprint arXiv:1505.01073},
year = {2016}
}