Koszul, Ringel, and Serre duality for strict polynomial functors
Representation Theory
2019-02-20 v4 Algebraic Topology
Category Theory
Abstract
This is a report on recent work of Chalupnik and Touze. We explain the Koszul duality for the category of strict polynomial functors and make explicit the underlying monoidal structure which seems to be of independent interest. Then we connect this to Ringel duality for Schur algebras and describe Serre duality for strict polynomial functors.
Cite
@article{arxiv.1203.0311,
title = {Koszul, Ringel, and Serre duality for strict polynomial functors},
author = {Henning Krause},
journal= {arXiv preprint arXiv:1203.0311},
year = {2019}
}
Comments
23 pages. Version 2: Added correct assumptions for Serre duality and included further references. Version 3: Added dedication and made minor simplifications and corrections. Version 4: Final version (slightly updated) accepted for publication in Compositio Mathematica