Manuel Ceballos and Juan Nunez and Angel F. Tenorio
Computational Algorithm for Obtaining Abelian Subalgebras in Lie Algebras
879 - 883
2009
3
10
International Journal of Mathematical and Computational Sciences
https://publications.waset.org/pdf/11417
https://publications.waset.org/vol/34
World Academy of Science, Engineering and Technology
The set of all abelian subalgebras is computationally
obtained for any given finitedimensional 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.
Open Science Index 34, 2009