JORDAN BIMODULES OVER THE SUPERALGEBRAS P(n) AND Q(n)
| Contribuinte(s) |
UNIVERSIDADE DE SÃO PAULO |
|---|---|
| Data(s) |
19/04/2012
19/04/2012
2010
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| Resumo |
We extend the Jacobson's Coordinatization theorem to Jordan superalgebras. Using it we classify Jordan bimodules over superalgebras of types Q(n) and JP(n), n >= 3. Then we use the Tits-Kantor-Koecher construction and representation theory of Lie superalgebras to treat the remaining case Q(2). MTM[2007-067884-C04-01] FICYT[IB-08-147] CNPq[304991/2006-6] FAPESP[05/60337-2] FAPESP[05/60142-7] National Science Foundation NSF |
| Identificador |
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, v.362, n.4, p.2037-2051, 2010 0002-9947 http://producao.usp.br/handle/BDPI/16688 http://www.ams.org/journals/tran/2010-362-04/S0002-9947-09-04997-6/S0002-9947-09-04997-6.pdf |
| Idioma(s) |
eng |
| Publicador |
AMER MATHEMATICAL SOC |
| Relação |
Transactions of the American Mathematical Society |
| Direitos |
openAccess Copyright AMER MATHEMATICAL SOC |
| Palavras-Chave | #Jordan superalgebra #Jordan bimodule #LIE SUPER-ALGEBRAS #REPRESENTATIONS #Mathematics |
| Tipo |
article original article publishedVersion |
