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FI$^m$-modules over Noetherian rings
Published 2 May 2017 in math.RT, math.AT, math.KT, and math.RA | (1705.00876v2)
Abstract: In this paper we study representation theory of the category FI$m$ introduced by Gadish which is a product of copies of the category FI, and show that quite a few interesting representational and homological properties of FI can be generalized to FI$m$ in a natural way. In particular, we prove the representation stability property of finitely generated FI$m$-modules over fields of characteristic 0.
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