Quasi-hereditary algebras and generalized Koszul duality

Details Quasi-hereditary algebras and generalized Koszul duality Quasi-hereditary algebras and generalized Koszul duality

2012-01-02

arxiv.org/abs/1201.0441v2

Mathematics

Representation Theory

This is a revised and updated version of the last section of arXiv:1007.3282

Scientific paper

We present an easily applicable sufficient condition for standard Koszul algebras to be Koszul with respect to $\Delta$. If a quasi-hereditary algebra $\L$ is Koszul with respect to $\Delta$, then $\L$ and the Yoneda extension algebra of $\Delta$ are Koszul dual in a sense explained below, implying in particular that their bounded derived categories of finitely generated graded modules are equivalent. We also prove that the extension algebra of $\Delta$ is Koszul in the classical sense.

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