, Volume 60, Issue 4, pp 903-907
Date: 14 Nov 2010

Novikov superalgebras with A 0 = A 1 A 1

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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.

The first author is partially supported by NNSF of China (No. 10971103).