HIGHER KOSZUL DUALITY FOR ASSOCIATIVE ALGEBRAS

DOI10.1017/S0017089513000505zbMath1284.18026arXiv1201.6509OpenAlexW2962722437MaRDI QIDQ5397377

Vladimir Dotsenko, Bruno Vallette

Publication date: 20 February 2014

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1201.6509

zbMATH Keywords

Gröbner basessyzygiesKoszul complexYoneda algebra\(N\)-homogeneous algebrasalgebras over non-symmetric operadshigher Koszul duality

Mathematics Subject Classification ID

Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Resolutions; derived functors (category-theoretic aspects) (18G10) Syzygies, resolutions, complexes in associative algebras (16E05) Quadratic and Koszul algebras (16S37)

Related Items

Jordan trialgebras and post-Jordan algebras, Koszul calculus for \(N\)-homogeneous algebras, Confluence algebras and acyclicity of the Koszul complex, Resolutions of operads via Koszul (bi)algebras, (Non-)Koszulness of operads for \(n\)-ary algebras, galgalim and other curiosities, Koszul A_∞-algebras and free loop space homology, Gröbner-Shirshov bases for the non-symmetric operads of dendriform algebras and quadri-algebras, Free quadri-algebras and dual quadri-algebras, Gröbner Bases and Dimension Formulas for Ternary Partially Associative Operads, The derived non-commutative Poisson bracket on Koszul Calabi-Yau algebras, Dendriform Analogues of Lie and Jordan Triple Systems, Gröbner bases for coloured operads

Cites Work

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• Algebraic Operads
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• Koszulity for nonquadratic algebras.