On a common generalization of Koszul duality and tilting equivalence

Details On a common generalization of Koszul duality and tilting equivalence On a common generalization of Koszul duality and tilting equivalence

2010-07-19

arxiv.org/abs/1007.3282v1

Mathematics

Representation Theory

Scientific paper

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 $\mathcal
O$.

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