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arXiv:1201.6509 [math.RA]AbstractReferencesReviewsResources

Higher Koszul duality for associative algebras

Vladimir Dotsenko, Bruno Vallette

Published 2012-01-31, updated 2013-04-24Version 2

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.

Comments: 16 pages, final version, to appear in Glasgow Mathematical Journal
Categories: math.RA, math.KT
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