The Alternative Operad Is Not Koszul

DOI10.1080/10586458.2011.544558zbMath1351.17034arXiv0906.1272OpenAlexW3100426320WikidataQ60692371 ScholiaQ60692371MaRDI QIDQ4915378

Pasha Zusmanovich, A. S. Dzhumadil'daev

Publication date: 10 April 2013

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0906.1272

zbMATH Keywords

Poincaré seriesKoszulityalternative operadright-alternative operad

Mathematics Subject Classification ID

Permutations, words, matrices (05A05) Nil and nilpotent radicals, sets, ideals, associative rings (16N40) Numerical linear algebra (65F99) Alternative rings (17D05) Quadratic and Koszul algebras (16S37) Software, source code, etc. for problems pertaining to nonassociative rings and algebras (17-04)

Related Items (5)

Associator dependent algebras and Koszul duality ⋮ Special and exceptional mock-Lie algebras ⋮ Dual Alternative Algebras in Characteristic Three ⋮ Cohomology theory of nonassociative algebras with metagroup relations ⋮ A Quillen Adjunction Between Algebras and Operads, Koszul Duality, and the Lagrange Inversion Formula

Uses Software

• ALBERT

Cites Work

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• Algebras with skew-symmetric identity of degree 3
• On universal Lie nilpotent associative algebras.
• Koszul duality for operads
• Lie-admissible algebras and operads.
• Manin products, Koszul duality, Loday algebras and Deligne conjecture
• The octonions
• Relatively Free Algebras with the Identityx³ = 0^#

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