Coinduction functor in representation stability theory

Liping Li; Wee Liang Gan

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Coinduction functor in representation stability theory

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arxiv 1502.06989 v3 pith:EXOSRYO2 submitted 2015-02-24 math.RT math.RA

Wee Liang Gan , Liping Li This is my paper · ORCID

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keywords coinductionfunctorfi-modulescategorycharacteristicfieldfinitelygeneralizations

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We study the coinduction functor on the category of FI-modules and its variants. Using the coinduction functor, we give new and simpler proofs of (generalizations of) various results on homological properties of FI-modules. We also prove that any finitely generated projective VI-module over a field of characteristic 0 is injective.

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