2 citations · 6 across the 6 of their papers we have counts for
6 papers
Solvable quadratic Lie algebras of dimensions
Minh Thanh Duong, Rosane Ushirobira
In this paper, we classify solvable Lie algebras of dimensions endowed with a nondegenerate invariant symmetric bilinear form over an algebraically closed field. This clas…
A classification of quadratic and odd quadratic Lie superalgebras in low dimensions
Minh Thanh Duong
In this paper, we give an expansion of two notions of double extension and -extension for quadratic and odd quadratic Lie superalgebras. Also, we provide a classification of q…
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…
Solvable quadratic Lie algebras in low dimensions
Tien Dat Pham, Anh Vu Le, Minh Thanh Duong
In this paper, we classify solvable quadratic Lie algebras up to dimension 6. In dimensions smaller than 6, we use the Witt decomposition given in \cite{Bou59} and a result in \cit…
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…
A new invariant of quadratic Lie algebras
Duong Minh Thanh, Georges Pinczon, Rosane Ushirobira
We define a new invariant of quadratic Lie algebras and give a complete study and classification of singular quadratic Lie algebras, i.e. those for which the invariant does not van…