Novikov superalgebras in low dimensions

Details Novikov superalgebras in low dimensions Novikov superalgebras in low dimensions

2009-03-06

arxiv.org/abs/0903.1145v1

Mathematics

Rings and Algebras

Accepted by J.Nonlinear Math.Phys

Scientific paper

Novikov superalgebras are related to the quadratic conformal superalgebras
which correspond to the Hamiltonian pairs and play fundamental role in the
completely integrable systems. In this note, we divide Novikov superalgebras
into two types: N and S. Then we show that the Novikov superalgebras of
dimension up to 3 are of type N.

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