Geodesic
Novikov superalgebras with $A_0=A_1A_1$
Czechoslovak Mathematical Journal, Tome 60 (2010) no. 4, pp. 903-907

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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 $A_0=A_1A_1$.
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 $A_0=A_1A_1$.
Classification : 17A30, 17A70
Keywords: Novikov algebra; Novikov superalgebra; type $N$; type $S$ 
Zhu, Fuhai; Chen, Zhiqi. Novikov superalgebras with $A_0=A_1A_1$. Czechoslovak Mathematical Journal, Tome 60 (2010) no. 4, pp. 903-907. http://geodesic.mathdoc.fr/item/CMJ_2010_60_4_a1/
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     title = {Novikov superalgebras with $A_0=A_1A_1$},
     journal = {Czechoslovak Mathematical Journal},
     pages = {903--907},
     year = {2010},
     volume = {60},
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     mrnumber = {2738955},
     zbl = {1224.17010},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_2010_60_4_a1/}
}
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