34 citations · 160 across the 31 of their papers we have counts for
4 papers · 2 filters
An inductive machinery for representations of categories with shift functors
Wee Liang Gan, Liping Li
We describe an inductive machinery to prove various properties of representations of a category equipped with a generic shift functor. Specifically, we show that if a property (P)…
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…
A long exact sequence for homology of FI-modules
Wee Liang Gan
We construct a long exact sequence involving the homology of an FI-module. Using the long exact sequence, we give two methods to bound the Castelnuovo-Mumford regularity of an FI-m…
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…