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arXiv · 1603.06128

On Serre functor in the category of strict polynomial functors

Marcin Chałupnik
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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.

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Marcin Chałupnik. 2016-03-19. On Serre functor in the category of strict polynomial functors. https://arxiv.org/abs/1603.06128

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