19 citations · 35 across the 15 of their papers we have counts for
17 papers
Solvable Quadratic Lie algebras up to dimension 7
Pilar Benito, Javier Rández-Ibáñez
The double extension method allows the construction of quadratic Lie algebras from smaller ones. Using this approach, in this work we describe all solvable indecomposable quadratic…
Computing Derivations on Nilpotent Quadratic Lie Algebras
Pilar Benito, Javier Rández-Ibáñez, Jorge Roldán-López
Every non-solvable and non-semisimple quadratic Lie algebra can be obtained as a double extension of a solvable quadratic Lie algebra. Thanks to a partial classification of nilpote…
Skew-adjoint maps and quadratic Lie algebras
Pilar Benito, Javier Rández-Ibáñez, Jorge Roldán-López
The procedure of double extension of vector spaces endowed with non-degenerate bilinear forms allows us to introduce the class of generalized $\mbK$-oscillator algebras over any ar…
Metrics related to Oscillator algebras
Pilar Benito, Jorge Roldán-López
A Lie algebra is said to be metric if it admits a symmetric invariant and nondegenerate bilinear form. The harmonic oscillator algebra, which arises in the quantum mechanical descr…
Lie structures and chain ideal lattices
Pilar Benito, Jorge Roldán-López
The purpose of this paper is twofold. Firstly, to emphasise that the class of Lie algebras with chain lattices of ideals are elementary blocks in the embedding or decomposition of…
Examples and patterns on quadratic Lie algebras
Pilar Benito, Jorge Roldán-López
A Lie algebra is said to be quadratic if it admits a symmetric invariant and non-degenerated bilinear form. Semisimple algebras with the Killing form are examples of these algebras…