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math.RT2025
Corrigendum to "Representation stability for diagram algebras" [J. Algebra 638 (2024) 625-669]
Peter Patzt
After the publication of [J. Algebra 638 (2024) 625-669], we noticed a serious mistake in the treatment of the partition algebra. In particular, we assumed in the proof of Lemma 4.…
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.RT2016★ 8 cited
Representation stability for filtrations of Torelli groups
Peter Patzt
We show, finitely generated rational -modules and -modules are uniformly representation stable and all their submodules are finit…