English

On a common generalization of Koszul duality and tilting equivalence

Representation Theory 2010-07-21 v1

Abstract

We propose a new definition of Koszulity for graded algebras where the degree zero part has finite global dimension, but is not necessarily semi-simple. The standard Koszul duality theorems hold in this setting. We give an application to algebras arising from multiplicity free blocks of the BGG category O\mathcal O.

Keywords

Cite

@article{arxiv.1007.3282,
  title  = {On a common generalization of Koszul duality and tilting equivalence},
  author = {Dag Madsen},
  journal= {arXiv preprint arXiv:1007.3282},
  year   = {2010}
}