On the negative-one shift functor for FI-modules

2016/03/25 by Wee Liang Gan, Gan, Wee Liang
Mathematics · #FOS: Mathematics #Representation Theory (math.RT) #Rings and Algebras (math.RA) #math.RA #math.RT

paper · pdf · doi:10.48550/arxiv.1603.07974

Remarks added

arxiv created 2016/09/14 · arxiv updated 2016/09/16

Abstract

We show that the negative-one shift functor on the category of FI-modules is a left adjoint of the shift functor and a right adjoint of the derivative functor. We also describe how the coinduction functor is related to the negative-one shift functor.

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