Metrics related to oscillator algebras

نویسندگان

چکیده

A Lie algebra is said to be metric if it admits a symmetric, invariant, and non-degenerate bilinear form. The harmonic oscillator algebra, which arises in the quantum mechanical description of oscillator, smallest solvable non-abelian example. This first step countable series algebras that support invariant Lorentzian forms. Generalizing this situation, paper, we arrive at K-algebras as double extensions spaces. aim paper present some structural features, metrics, derivations class explore their possibilities being extended mixed algebras.

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ژورنال

عنوان ژورنال: Linear & Multilinear Algebra

سال: 2023

ISSN: ['0308-1087', '1026-7573', '1563-5139']

DOI: https://doi.org/10.1080/03081087.2023.2239993