Higher Koszul duality for associative algebras

Details Higher Koszul duality for associative algebras Higher Koszul duality for associative algebras

2012-01-31

arxiv.org/abs/1201.6509v1

Mathematics

Rings and Algebras

15 pages

Scientific paper

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.

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