Stable decompositions of certain representations of the finite general linear groups
Representation Theory
2017-09-25 v3
Abstract
We prove that the irreducible decomposition of the permutation representation of GL(n,q) on GL(n,q)/GL(n-m,q) stabilizes for large n. We deduce, as a consequence, a representation stability theorem for finitely generated VIC-modules.
Keywords
Cite
@article{arxiv.1605.08434,
title = {Stable decompositions of certain representations of the finite general linear groups},
author = {Wee Liang Gan and John Watterlond},
journal= {arXiv preprint arXiv:1605.08434},
year = {2017}
}