2 papers
math.RT2016
Stable decompositions of certain representations of the finite general linear groups
Wee Liang Gan, John Watterlond
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…
math.RT2016
A representation stability theorem for VI-modules
Wee Liang Gan, John Watterlond
A VI-module gives rise to a sequence of representations of the finite general linear groups. We prove that the sequence obtained from any finitely generated VI-module over an algeb…