English

Novikov operad is not Koszul

Rings and Algebras 2009-02-24 v1

Abstract

An algebra with identities a(bccb)=(ab)c(ac)ba\circ(b\circ c-c\circ b)=(a\circ b)\circ c-(a\circ c)\circ b and a(bc)=b(ac)a\circ(b\circ c)=b\circ(a\circ c) is called Novikov. We show that Novikov operad is not Koszul.

Cite

@article{arxiv.0902.3771,
  title  = {Novikov operad is not Koszul},
  author = {A. S. Dzhumadil'daev},
  journal= {arXiv preprint arXiv:0902.3771},
  year   = {2009}
}

Comments

5 pages

R2 v1 2026-06-21T12:14:11.271Z