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dc.contributor.authorAlbuquerque, Helena-
dc.contributor.authorBarreiro, Elisabete-
dc.contributor.authorBenayadi, Saïd-
dc.identifier.citationPré-Publicações DMUC. 07-08 (2007)en_US
dc.description.abstractThe aim of this paper is to exibit some non trivial examples of quadratic Lie superalgebras such that the even part is a reductive Lie algebra and the action of the even part on the odd part is not completely reducible and to give an inductive classi cation of this class of quadratic Lie superalgebras. The notion of generalized double extension of quadratic Lie superalgebras proposed by I. Bajo, S. Benayadi and M. Bordemann [1] has a crucial importance in this work. In particular we will improve some results of [4], in the sense that we will not demand that the action of the even part on the odd part is completely reducible, which naturally makes the proofs of our results more diffcult.en_US
dc.description.sponsorshipCMUC, Department of Mathematics, University of Coimbraen_US
dc.publisherCentro de Matemática da Universidade de Coimbraen_US
dc.subjectQuadratic Lie superalgebraen_US
dc.subjectBasic classical Lie superalgebraen_US
dc.subjectSuper derivationen_US
dc.subjectDouble extensionen_US
dc.titleQuadratic Lie superalgebras with reductive even parten_US
item.fulltextCom Texto completo-
item.languageiso639-1en- of Sciences and Technology- of Sciences and Technology- of Coimbra- of Coimbra- - Centre for Mathematics of the University of Coimbra- - Centre for Mathematics of the University of Coimbra-
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