A. P. Pozhidaev, I. P. Shestakov, “Simple finite-dimensional noncommutative Jordan superalgebras of characteristic 0”, Sibirsk. Mat. Zh., 2013, Volume 54, Number 2,Pages <nobr>389

This article is cited in 9 papers

Simple finite-dimensional noncommutative Jordan superalgebras of characteristic 0

A. P. Pozhidaev^ab, I. P. Shestakov^ac

^a Sobolev Institute of Mathematics, Novosibirsk, Russia
^b Novosibirsk State University, Novosibirsk, Russia
^c University of São Paulo, São Paulo, Basil

Abstract: We classify the central simple finite-dimensional noncommutative Jordan superalgebras of characteristic 0. As a corollary, we describe the Poisson brackets on the simple finite-dimensional Jordan superalgebras of characteristic 0.

Keywords: noncommutative Jordan superalgebra, Poisson bracket, simple superalgebra, Grassmann superalgebra.

UDC: 512.57

Received: 14.02.2012