Constructing semisimple subalgebras of semisimple Lie algebras
Rings and Algebras
2010-04-13 v1
Abstract
Algorithms are described that help with obtaining a classification of the semisimple subalgebras of a given semisimple Lie algebra, up to linear equivalence. The algorithms have been used to obtain classifications of the semisimple subalgebras of the simple Lie algebras of ranks <= 8. These have been made available as a database inside the SLA package of GAP4. The subalgebras in this database are explicitly given, as well as the inclusion relations among them.
Keywords
Cite
@article{arxiv.1004.1972,
title = {Constructing semisimple subalgebras of semisimple Lie algebras},
author = {Willem A. de Graaf},
journal= {arXiv preprint arXiv:1004.1972},
year = {2010}
}
Comments
19 pages