Quasi-hereditary algebras and generalized Koszul duality

Abstract

We present an easily applicable sufficient condition for standard Koszul algebras to be Koszul with respect to $\Delta$. If a quasi-hereditary algebra $Ł$ is Koszul with respect to $\Delta$, then $Ł$ 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.

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

References in corpus (1)

• A-infinity structures on the algebra of extensions of Verma modules in the parabolic category O

Cited by in corpus (1)

• Some Homological Properties of Tensor and Wreath Products of Quasi-hereditary Algebras