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math.RT2012★ 181 cited
FI-modules over Noetherian rings
Thomas Church, Jordan S. Ellenberg, Benson Farb +1
FI-modules were introduced by the first three authors in [CEF] to encode sequences of representations of symmetric groups. Over a field of characteristic 0, finite generation of an…
math.RT2012★ 346 cited
FI-modules and stability for representations of symmetric groups
Thomas Church, Jordan S. Ellenberg, Benson Farb
In this paper we introduce and develop the theory of FI-modules. We apply this theory to obtain new theorems about: - the cohomology of the configuration space of n distinct ordere…