On Serre functor in the category of strict polynomial functors
K-Theory and Homology
2016-03-22 v1
Abstract
We introduce and study a Serre functor in the category 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.
Keywords
Cite
@article{arxiv.1603.06128,
title = {On Serre functor in the category of strict polynomial functors},
author = {Marcin Chałupnik},
journal= {arXiv preprint arXiv:1603.06128},
year = {2016}
}