## On Serre functor in the category of strict polynomial functors

### Abstract

We introduce and study a Serre functor in the category ${\cal P}_d$ of strict polynomial functors over a field of positive characteristic. By using it we obtain the Poincar\'e duality formula for Ext--groups from [C3] in elementary way. We also show that the derived category of the category of affine strct polynomial functors in some cases carries the structure of Calabi-Yau category

Topics: Mathematics - K-Theory and Homology, 18A25, 18A40, 18G15, 20G15
Year: 2016
OAI identifier: oai:arXiv.org:1603.06128

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