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Paper detail

Higher Koszul duality for associative algebras

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.

preprint2013arXivOpen access
Vladimir DotsenkoBruno Vallette
math.KTmath.RA
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Vladimir DotsenkoBruno Vallette

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