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Title: Odd-quadratic Lie superalgebras
Authors: Albuquerque, Helena 
Barreiro, Elisabete 
Benayadi, Saïd 
Keywords: Lie superalgebras; Reductive Lie algebras; Quadratic forms
Issue Date: 2007
Publisher: Centro de Matemática da Universidade de Coimbra
Citation: Pré-Publicações DMUC. 07-09 (2007)
Abstract: An odd-quadratic Lie superalgebra is a Lie superalgebra with a nondegenerate supersymmetric odd invariant bilinear form. In this paper we give examples and present some properties of odd-quadratic Lie superalgebras, introduce the notions of double extension and generalized double extension of odd-quadratic Lie superalgebras and give an inductive classi cation of odd-quadratic Lie superalgebras such that the even part is a reductive Lie algebra
Rights: openAccess
Appears in Collections:FCTUC Matemática - Vários

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