arXiv subjects

John Watterlond

Publications and source records attributed to John Watterlond.

2 recordsLinked to original sources

arXiv2017

A representation stability theorem for VI-modules

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 algebraically closed field of characteristic zero is representation stable.

math.RT↗

arXiv2017

Stable decompositions of certain representations of the finite general linear groups

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.

math.RT↗