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arXiv · 1201.0441

Quasi-hereditary algebras and generalized Koszul duality

Dag Oskar Madsen
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Abstract

We present an easily applicable sufficient condition for standard Koszul algebras to be Koszul with respect to $Δ$. If a quasi-hereditary algebra $Ł$ is Koszul with respect to $Δ$, then $Ł$ and the Yoneda extension algebra of $Δ$ 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 $Δ$ is Koszul in the classical sense.

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BibTeXRIS

Dag Oskar Madsen. 2012-02-17. Quasi-hereditary algebras and generalized Koszul duality. https://arxiv.org/abs/1201.0441

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