Geodesic
HIGHER KOSZUL DUALITY FOR ASSOCIATIVE ALGEBRAS
Glasgow mathematical journal, Tome 55 (2013) no. A, pp. 55-74

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DOI

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.
DOI : 10.1017/S0017089513000505
Mots-clés : Primary 18G10, Secondary 13P10, 18D50, 18G55 
DOTSENKO, VLADIMIR; VALLETTE, BRUNO. HIGHER KOSZUL DUALITY FOR ASSOCIATIVE ALGEBRAS. Glasgow mathematical journal, Tome 55 (2013) no. A, pp. 55-74. doi: 10.1017/S0017089513000505
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     title = {HIGHER {KOSZUL} {DUALITY} {FOR} {ASSOCIATIVE} {ALGEBRAS}},
     journal = {Glasgow mathematical journal},
     pages = {55--74},
     year = {2013},
     volume = {55},
     number = {A},
     doi = {10.1017/S0017089513000505},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089513000505/}
}
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