Geodesic
Koszul duality for $N$-Koszul algebras
Roberto Martínez-Villa1 ; Manuel Saorín2
1 Instituto de Matemáticas UNAM, AP 61-3 58089 Morelia, Michoacán, Mexico
2 Departamento de Matemáticas Universidad de Murcia, Aptdo. 4021 30100 Espinardo, Murcia, Spain
Colloquium Mathematicum, Tome 103 (2005) no. 2, pp. 155-168.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/cm103-2-1
Mots-clés : correspondence between category modules graded algebra category graded modules its yoneda algebra studied cite means infty algebras relation understood koszul algebras see example cite gmv cite gmv interest look cases there exists duality generalizing koszul situation paper study n koszul algebras cite cite gmmz cite which duality exists

Roberto Martínez-Villa 1 ; Manuel Saorín 2

1 Instituto de Matemáticas UNAM, AP 61-3 58089 Morelia, Michoacán, Mexico
2 Departamento de Matemáticas Universidad de Murcia, Aptdo. 4021 30100 Espinardo, Murcia, Spain 
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Roberto Martínez-Villa; Manuel Saorín. Koszul duality for $N$-Koszul algebras. Colloquium Mathematicum, Tome 103 (2005) no. 2, pp. 155-168. doi : 10.4064/cm103-2-1. http://geodesic.mathdoc.fr/articles/10.4064/cm103-2-1/

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