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arXiv · 1007.3282

On a common generalization of Koszul duality and tilting equivalence

Dag Madsen
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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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Dag Madsen. 2010-07-19. On a common generalization of Koszul duality and tilting equivalence. https://arxiv.org/abs/1007.3282

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