Codimension growth of a variety of Novikov algebras

2009/02/18 by Dzhumadil'daev, A. S.
#16R10 #17A30 #17A50 #17C50 #17D25 #Combinatorics (math.CO) #FOS: Mathematics #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.0902.3187

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 construct free Novikov base in terms of Young diagrams. We show that codimensions exponent for a variety of Novikov algebras exists and is equal 4.

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