Codimension Growth and Non-Koszulity of Novikov Operad

2011

Closed access Metadata (CSL-JSON)
DOI 10.1080/00927870903386494
Data confidence 70 medium
How this score is calculated

It is built from checkable properties of the record itself: whether the article has a DOI, how many independent sources confirmed its data, whether the required fields are filled in, and how recent the latest confirmation is. Disagreement between sources and a missing identifier lower it. A value of 80 or above means the record was published without further checking; 60 to 79 means it is published at reduced confidence, with a manual check advisable. A record verified by an editor by hand is never pushed below 90 by a recalculation. This scores our data about the article, not the article itself.

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 to 4. We prove that Novikov operad is not Koszul.