3 papers
math.RA2024
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…
math.RA2024
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…
math.RA2022
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…