Classification of Novikov algebras (Q1938502)

The authors describe a method for classifying the Novikov algebras with a given associated Lie algebra using computer calculations and the technique of Gröbner bases. They give the classification of the Novikov algebras of dimension 3 over \(\mathbb R\) and \(\mathbb C\), as well as the classification of the 4-dimensional Novikov algebras over \(\mathbb C\) whose associated Lie algebra is nilpotent.