Strongly non-degenerate Lie algebras

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RECERCAT Home > Centres de Recerca de Catalunya (CERCA) > Centre de Recerca Matemàtica > Prepublicacions del Centre de Recerca Matemàtica > View document

Use this identifier to quote or link this document: http://hdl.handle.net/2072/4248

dc.contributor	Centre de Recerca Matemàtica
dc.contributor.author	Perera Domènech, Francesc
dc.contributor.author	Siles Molina, Mercedes
dc.date.accessioned	2007-06-27T14:17:02Z
dc.date.available	2007-06-27T14:17:02Z
dc.date.created	2007-04
dc.date.issued	2007-04
dc.identifier.uri	http://hdl.handle.net/2072/4248
dc.format.extent	13
dc.format.extent	187126 bytes
dc.format.mimetype	application/pdf
dc.language.iso	eng
dc.publisher	Centre de Recerca Matemàtica
dc.relation.ispartofseries	Prepublicacions del Centre de Recerca Matemàtica;745
dc.rights	Aquest document està subjecte a una llicència d'ús de Creative Commons, amb la qual es permet copiar, distribuir i comunicar públicament l'obra sempre que se'n citin l'autor original, la universitat i el centre i no se'n faci cap ús comercial ni obra derivada, tal com queda estipulat en la llicència d'ús (http://creativecommons.org/licenses/by-nc-nd/2.5/es/)
dc.subject.other	Lie, Àlgebres
dc.title	Strongly non-degenerate Lie algebras
dc.type	info:eu-repo/semantics/preprint
dc.subject.udc	512 - Àlgebra
dc.description.abstract	Let A be a semiprime 2 and 3-torsion free non-commutative associative algebra. We show that the Lie algebra Der(A) of(associative) derivations of A is strongly non-degenerate, which is a strong form of semiprimeness for Lie algebras, under some additional restrictions on the center of A. This result follows from a description of the quadratic annihilator of a general Lie algebra inside appropriate Lie overalgebras. Similar results are obtained for an associative algebra A with involution and the Lie algebra SDer(A) of involution preserving derivations of A

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