This article is cited in 9 papers

Embedding Novikov–Poisson algebras in Novikov–Poisson algebras of vector type

A. S. Zakharov<sup>ab

a</sup> Sobolev Institute of Mathematics, pr. Akad. Koptyuga 4, Novosibirsk, 630090, Russia
^b Novosibirsk State University, ul. Pirogova 2, Novosibirsk, 630090, Russia

Abstract: It is proved that a Novikov–Poisson algebra whose associative commutative part contains at least one element that is not a zero divisor is embedded in a Novikov–Poisson algebra of vector type. As a consequence, the corresponding Jordan superalgebra is special.

Keywords: Novikov algebra, Novikov–Poisson algebra, Jordan superalgebra, Kantor's double, Poisson bracket, Jordan bracket.

UDC: 512.554

Received: 26.02.2013
Revised: 17.05.2013

 English version: Algebra and Logic, 2013, 52:3, 236–249

Bibliographic databases:

• 
•