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4 papers · 2 filters
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…
Equivalent constructions of nilpotent quadratic Lie algebras
Pilar Benito, Jorge Roldán-López
The double extension and the T*-extension are classical methods for constructing finite dimensional quadratic Lie algebras. The first one gives an inductive classification in chara…