Koszul duality for N-Koszul algebras

Roberto Martínez-Villa, and Manuel Saorín. "Koszul duality for N-Koszul algebras." Colloquium Mathematicae 103.2 (2005): 155-168. <http://eudml.org/doc/284041>.

@article{RobertoMartínez2005,
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 [8] by means of $A_\{∞\}$ algebras; this relation is very well understood for Koszul algebras (see for example [5],[6]). 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 [1], [7], [9] for which such a duality exists.},
author = {Roberto Martínez-Villa, Manuel Saorín},
journal = {Colloquium Mathematicae},
keywords = {-Koszul algebras; graded modules; linear complexes; path algebras; Yoneda algebras; dualities; categories of modules},
language = {eng},
number = {2},
pages = {155-168},
title = {Koszul duality for N-Koszul algebras},
url = {http://eudml.org/doc/284041},
volume = {103},
year = {2005},
}

TY - JOUR
AU - Roberto Martínez-Villa
AU - Manuel Saorín
TI - Koszul duality for N-Koszul algebras
JO - Colloquium Mathematicae
PY - 2005
VL - 103
IS - 2
SP - 155
EP - 168
AB - The correspondence between the category of modules over a graded algebra and the category of graded modules over its Yoneda algebra was studied in [8] by means of $A_{∞}$ algebras; this relation is very well understood for Koszul algebras (see for example [5],[6]). 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 [1], [7], [9] for which such a duality exists.
LA - eng
KW - -Koszul algebras; graded modules; linear complexes; path algebras; Yoneda algebras; dualities; categories of modules
UR - http://eudml.org/doc/284041
ER -