Structurable superalgebras of Cartan type
| Contribuinte(s) |
UNIVERSIDADE DE SÃO PAULO |
|---|---|
| Data(s) |
20/10/2012
20/10/2012
2010
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| Resumo |
We describe the simple Lie superalgebras arising from the unital structurable superalgebras of characteristic 0 and construct four series of the unital simple structurable superalgebras of Cartan type. We give a classification of simple structurable superalgebras of Cartan type over an algebraically closed field F of characteristic 0. Together with the Faulkner theorem on the classification of classical such superalgebras, it gives a classification of the simple structurable superalgebras over F. Crown Copyright (C) 2010 Published by Elsevier Inc. All rights reserved. Brazilian FAPESP[2008/50142-8] Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) Brazilian FAPESP[2005/60337-2] Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) RFBR[09-01-00157] RFBR CNPq[304991/2006-6] Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) |
| Identificador |
JOURNAL OF ALGEBRA, v.323, n.12, p.3230-3251, 2010 0021-8693 http://producao.usp.br/handle/BDPI/30719 10.1016/j.jalgebra.2010.04.003 |
| Idioma(s) |
eng |
| Publicador |
ACADEMIC PRESS INC ELSEVIER SCIENCE |
| Relação |
Journal of Algebra |
| Direitos |
restrictedAccess Copyright ACADEMIC PRESS INC ELSEVIER SCIENCE |
| Palavras-Chave | #Structurable superalgebra #Allison-Kantor`s construction #Lie superalgebra #Lie superalgebra of Cartan type #Jordan superalgebra #Simple superalgebra #Superinvolution #sl(2)-triple #LIE-ALGEBRAS #INVOLUTION #JORDAN #Mathematics |
| Tipo |
article original article publishedVersion |
