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arXiv · 1201.6509

Higher Koszul duality for associative algebras

Vladimir Dotsenko·Bruno Vallette
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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: Gröbner bases for algebras over non-symmetric operads.

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Vladimir Dotsenko, Bruno Vallette. 2013-04-24. Higher Koszul duality for associative algebras. https://arxiv.org/abs/1201.6509

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