This article is cited in 2 papers

Mathematical logic, algebra and number theory

Novikov–Poisson anlgebras in low dimension

A. S. Zakharov<sup>ab

a</sup> Novosibirsk State University
^b Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk

Abstract: We classify Novikov–Poisson algebras in low dimmension. Also we obtain examples of the Novikov–Poisson algebra of non vector type.

Keywords: Novikov–Poisson algebra, nonassociative algebras.

UDC: 512.554.7

MSC: 17D99

Received December 17, 2014, published June 10, 2015

DOI: 10.17377/semi.2015.12.032