2014/07/09 by Georg Beyerle, G. Beyerle, Beyerle, Georg
Chemistry · Mathematics · #Advanced Algebra and Geometry #FOS: Mathematics #Geometry and complex manifolds #Molecular spectroscopy and chirality #Representation Theory (math.RT) #math.RT
paper · pdf · doi:10.48550/arxiv.1407.3642
8 pages, no figures
arxiv created 2014/07/09 · openalex publication_date 2014/07/09 · arxiv updated 2014/07/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Recently, Paiva and Teixeira (arXiv:1108.4396) showed that the structure constants of a Lie algebra are the solution of a system of linear equations provided a certain subset of the structure constants are given a-priori. Here it is noted that Lie algebras generated in this way are solvable and their derived subalgebras are Abelian if the system of linear equations considered by Paiva and Teixeira is not degenerate. An efficient numerical algorithm for the calculation of their structure constants is described.