Novikov operad is not Koszul

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 show that Novikov operad is not Koszul.

5 pages