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math-ph2012★ 1 cited
Singular quadratic Lie superalgebras
Minh Thanh Duong, Rosane Ushirobira
In this paper, we give a generalization of results in \cite{PU07} and \cite{DPU10} by applying the tools of graded Lie algebras to quadratic Lie superalgebras. In this way, we obta…
math-ph2010★ 2 cited
Jordanian double extensions of a quadratic vector space and symmetric Novikov algebras
Minh Thanh Duong, Rosane Ushirobira
First, we study pseudo-Euclidean Jordan algebras obtained as double extensions of a quadratic vector space by a one-dimensional algebra. We give an isomorphic characterization of 2…