School of Mathematics and Statistics Northeast Normal University Changchun 130024 ChinaSchool of Mathematics and Statistics Yili Normal University Yining Xinjiang 835000 China;
School of Mathematics and Statistics Northeast Normal University Changchun 130024 China;
College of Mathematics Changchun Normal University Changchun 130032 China;
Novikov algebra; sub-adjacent Lie algebra; derivation; realization;