On the negative-one shift functor for FI-modules
classification
🧮 math.RA
math.RT
keywords
functorshiftnegative-oneadjointfi-modulescategorycoinductionderivative
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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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