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On a common generalization of Koszul duality and tilting equivalence

Published 19 Jul 2010 in math.RT | (1007.3282v1)

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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