Yifang Kang, Zhiqi Chen
Abstract
Abstract. 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. 1.
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Abstract. 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. 1.
Key concepts: Novikov self-consistency principle, Mathematics, Integrable system, Pure mathematics, Conformal map, Dimension (graph theory), Quadratic equation, Hamiltonian (control theory)