On the Brauer constructions and generic Jordan types of Young modules
Representation Theory
2017-07-14 v1
Abstract
Let p be a prime number. We study the dimensions of Brauer constructions of Young and Young permutation modules with respect to p-subgroups of the symmetric groups. They depend only on partitions labelling the modules and the orbits of the action of the p-subgroups, and are related to their generic Jordan types. We obtain some reductive formulae and, in the case of two-part partitions, make some explicit calculation.
Keywords
Cite
@article{arxiv.1707.04075,
title = {On the Brauer constructions and generic Jordan types of Young modules},
author = {Yu Jiang and Kay Jin Lim and Jia Lin Wang},
journal= {arXiv preprint arXiv:1707.04075},
year = {2017}
}