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math.RT2019
On the tails of FI-modules
Peter Patzt, John D. Wiltshire-Gordon
We study the end-behavior of integer-valued FI-modules. Our first result describes the high degrees of an FI-module in terms of newly defined tail invariants. Our main result provi…
math.RT2018
On computing the eventual behavior of an FI-module over the rational numbers
John D. Wiltshire-Gordon
We give a formula for the eventual multiplicities of irreducible representations appearing in a finitely-presented FI-module over the rational numbers. The result relies on structu…