Noncommutative Jordan superalgebras of degree n > 2


Autoria(s): POZHIDAEV, A. P.; SHESTAKOV, P.
Contribuinte(s)

UNIVERSIDADE DE SÃO PAULO

Data(s)

20/10/2012

20/10/2012

2010

Resumo

We prove a coordinatization theorem for noncommutative Jordan superalgebras of degree n > 2, describing such algebras. It is shown that the symmetrized Jordan superalgebra for a simple finite-dimensional noncommutative Jordan superalgebra of characteristic 0 and degree n > 1 is simple. Modulo a ""nodal"" case, we classify central simple finite-dimensional noncommutative Jordan superalgebras of characteristic 0.

Brazilian FAPESP[2008/50142-8]

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Brazilian FAPESP[2005/60337-2]

RFBR

RFBR[09-01-00157]

CNPq[304991/2006-6]

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Identificador

ALGEBRA AND LOGIC, v.49, n.1, p.18-42, 2010

0002-5232

http://producao.usp.br/handle/BDPI/30732

10.1007/s10469-010-9077-6

http://dx.doi.org/10.1007/s10469-010-9077-6

Idioma(s)

eng

Publicador

SPRINGER

Relação

Algebra and Logic

Direitos

restrictedAccess

Copyright SPRINGER

Palavras-Chave #noncommutative Jordan superalgebra #coordinatization theorem #ALGEBRAS #REPRESENTATIONS #THEOREM #Mathematics
Tipo

article

original article

publishedVersion