@article{(Open Science Index):https://publications.waset.org/pdf/11417, title = {Computational Algorithm for Obtaining Abelian Subalgebras in Lie Algebras}, author = {Manuel Ceballos and Juan Nunez and Angel F. Tenorio}, country = {}, institution = {}, abstract = {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.}, journal = {International Journal of Mathematical and Computational Sciences}, volume = {3}, number = {10}, year = {2009}, pages = {879 - 883}, ee = {https://publications.waset.org/pdf/11417}, url = {https://publications.waset.org/vol/34}, bibsource = {https://publications.waset.org/}, issn = {eISSN: 1307-6892}, publisher = {World Academy of Science, Engineering and Technology}, index = {Open Science Index 34, 2009}, }