Novikov operad is not Koszul

2009/02/22 by Dzhumadil'daev, A. S.
#16R10 #17A30 #17A50 #17C50 #17D25 #FOS: Mathematics #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.0902.3771

Abstract

An algebra with identities a∘(b∘ c-c∘ b)=(a∘ b)∘ c-(a∘ c)∘ b and a∘(b∘ c)=b∘(a∘ c) is called Novikov. We show that Novikov operad is not Koszul.

Related

• Differential Novikov algebras
• Codimension growth of a variety of Novikov algebras
• δ-Novikov and δ-Novikov--Poisson algebras
• Novikov-Jordan algebras
• Polynomial identities in Novikov algebras