On a common generalization of Koszul duality and tilting equivalence

2010/07/19 by Madsen, Dag
#16S37 #16W50 #18E30 #FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1007.3282

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 \mathcal O.

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