Lie structure in semiprime superalgebras with superinvolution
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Universidad de La Rioja
info
ISSN: 0021-8693
Año de publicación: 2007
Volumen: 315
Número: 2
Páginas: 751-760
Tipo: Artículo
beta Ver similares en nube de resultadosOtras publicaciones en: Journal of Algebra
Resumen
In this paper we investigate the Lie structure of the Lie superalgebra K of skew elements of a semiprime associative superalgebra A with superinvolution. We show that if U is a Lie ideal of K, then either there exists an ideal J of A such that the Lie ideal [J ∩ K, K] is nonzero and contained in U, or A is a subdirect sum of A<sup>′</sup>, A<sup>″</sup>, where the image of U in A<sup>′</sup> is central, and A<sup>″</sup> is a subdirect product of orders in simple superalgebras, each at most 16-dimensional over its center. © 2007 Elsevier Inc. All rights reserved.