2024/01/27 by David Reynoso-Mercado, Reynoso-Mercado, David
Mathematics · Chemistry · #Advanced Topics in Algebra #Chemical Synthesis and Reactions #Advanced Algebra and Geometry
paper · pdf · doi:10.48550/arxiv.2401.15256
Let \mathfrakg be the simple Lie algebra of square matrices (n+1)× (n+1) with zero trace. There are certain relations concerning standard automorphisms that are considered ``folklore". One can find a complete proof of these in Millson and Toledano Laredo's work [Transformation Groups, Vol. 10, No. 2, 2005, pp. 217-254], but said proof is based on topological arguments which are non-trivial. The aim of this work is to verify these relations in an elementary way.