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Novikov superalgebras with A 0 =A 1 A 1 . (English) Zbl 1224.17010
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 1 A 1 and dimA 1 =2 are of type N and give a class of Novikov superalgebras of type S with A 0 =A 1 A 1 .
MSC:
17A70Superalgebras
17A30Nonassociative algebras satisfying other identities
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