Lie structure in semiprime superalgebrs with superinvolution

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dc.creatorLaliena, Jesus
dc.creatorSacritan, Sara
dc.date2007-01-12
dc.date.accessioned2026-07-07T07:40:39Z
dc.date.available2026-07-07T07:40:39Z
dc.descriptionIn 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 a determined nonzero Lie ideal connected with J is contained in U, or A is a subdirect sum of A', A'', where the image of U in A' is central, and A'' is a subdirect product of orders in simple superalgebras, each at most 16-dimensional over its center.
dc.description12 pages
dc.identifierhttps://arxiv.org/abs/math/0701357
dc.identifierhttp://arxiv.org/abs/math/0701357
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/121836
dc.subjectRings and Algebras
dc.subject17C70
dc.titleLie structure in semiprime superalgebrs with superinvolution
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