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Novikov superalgebras with A0 = A1A1
Authors:Fuhai Zhu  Zhiqi Chen
Affiliation:1.Tianjin,China;2.School of Mathematical Sciences and LPMC,Nankai University,Tianjin,P.R.China
Abstract: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 dim A 1 = 2 are of type N and give a class of Novikov superalgebras of type S with A 0 = A 1 A 1.
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