%0 Journal Article %A Manuel Ceballos and Juan Nunez and Angel F. Tenorio %D 2009 %J International Journal of Mathematical and Computational Sciences %B World Academy of Science, Engineering and Technology %I Open Science Index 34, 2009 %T Computational Algorithm for Obtaining Abelian Subalgebras in Lie Algebras %U https://publications.waset.org/pdf/11417 %V 34 %X The set of all abelian subalgebras is computationally obtained for any given finite-dimensional Lie algebra, starting from the nonzero brackets in its law. More concretely, an algorithm is described and implemented to compute a basis for each nontrivial abelian subalgebra with the help of the symbolic computation package MAPLE. Finally, it is also shown a brief computational study for this implementation, considering both the computing time and the used memory. %P 879 - 883