CEBALLOS GONZÁLEZ, MANUEL, Nunez, Juan , Tenorio, Angel F.
No
Recent Advances In Applied Mathematics
Proceedings Paper
Científica
01/01/2009
000276837500023
This paper deals with the maximal abelian dimension of a given Lie algebra. In fact, its main goal is to compute this dimension for solvable non-decomposable Lie algebras of dimension less than 7, by applying an algorithmic method which goes ruling out non-valid maximal abelian dimensions until obtaining its exact value. To do such computations, we have used Mubarakzyanov and Turkowsky's classical classifications of solvable Lie algebras and we have explicitly computed the maximal abelian dimension for most of algebras in those classifications.
Solvable Lie algebra; maximal abelian dimension