FI^m-modules over Noetherian rings

Liping Li Hunan Normal Univ. Nina Yu Xiamen Univ.

Algebraic Topology and General Topology K-Theory and Homology Representation Theory Rings and Algebras mathscidoc:1705.02001

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.
Noetheerianity, representation stability, Hilbert functions
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  title={FI^m-modules over Noetherian rings},
  author={Liping Li, and Nina Yu},
Liping Li, and Nina Yu. FI^m-modules over Noetherian rings.
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