Noncommutative Jordan superalgebras of degree n > 2
| Contribuinte(s) |
UNIVERSIDADE DE SÃO PAULO |
|---|---|
| Data(s) |
20/10/2012
20/10/2012
2010
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| 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 |
| 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 |