Solvable quadratic Lie algebras in low dimensions
Abstract
In this paper, we classify solvable quadratic Lie algebras up to dimension 6. In dimensions smaller than 6, we use the Witt decomposition given in Bou59 and a result in PU07 to obtain two non-Abelian indecomposable solvable quadratic Lie algebras. In the case of dimension 6, by applying the method of double extension given in Kac85 and MR85 and the classification result of singular quadratic Lie algebras in DPU, we have three families of solvable quadratic Lie algebras which are indecomposable and not isomorphic.
0
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.