Published October 24, 2016 | Version v1
Publication

Computational algorithm for obtaining Abelian subalgebras in Lie algebras

Description

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.

Additional details

Identifiers

URL
https://idus.us.es/handle/11441/47966
URN
urn:oai:idus.us.es:11441/47966