Koszul duality for $N$-Koszul algebras
Volume 103 / 2005
Colloquium Mathematicum 103 (2005), 155-168
MSC: 16E05, 18G10, 18G35.
DOI: 10.4064/cm103-2-1
Abstract
The correspondence between the category of modules over a graded algebra and the category of graded modules over its Yoneda algebra was studied in \cite{K} by means of $A_{\infty }$ algebras; this relation is very well understood for Koszul algebras (see for example \cite{GMV}, \cite{GMV2}). It is of interest to look for cases such that there exists a duality generalizing the Koszul situation. In this paper we will study $N$-Koszul algebras \cite{Be}, \cite{GMMZ}, \cite{MM} for which such a duality exists.
