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Keywords:
Novikov algebra; Novikov superalgebra; type $N$; type $S$
Novikov algebra; Novikov superalgebra; type $N$; type $S$
Summary:
Novikov superalgebras are related to quadratic conformal superalgebras which correspond to the Hamiltonian pairs and play a fundamental role in completely integrable systems. In this note we show that the Novikov superalgebras with $A_0=A_1A_1$ and $\dim A_1=2$ are of type $N$ and give a class of Novikov superalgebras of type $S$ with $A_0=A_1A_1$.
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