Higher Koszul duality for associative algebras
Rings and Algebras
2013-04-25 v2 K-Theory and Homology
Abstract
We present a unifying framework for the key concepts and results of higher Koszul duality theory for N-homogeneous algebras: the Koszul complex, the candidate for the space of syzygies, and the higher operations on the Yoneda algebra. We give a universal description of the Koszul dual algebra under a new algebraic structure. For that we introduce a general notion: Gr\"obner bases for algebras over non-symmetric operads.
Cite
@article{arxiv.1201.6509,
title = {Higher Koszul duality for associative algebras},
author = {Vladimir Dotsenko and Bruno Vallette},
journal= {arXiv preprint arXiv:1201.6509},
year = {2013}
}
Comments
16 pages, final version, to appear in Glasgow Mathematical Journal