Codimension growth of a variety of Novikov algebras

Abstract

An algebra with identities $a\circ (b\circ c-c\circ b)=(a\circ b)\circ c-(a\circ c)\circ b$ and $a\circ (b\circ c)=b\circ (a\circ c)$ 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.

7 pages