Constructing semisimple subalgebras of semisimple Lie algebras

Details Constructing semisimple subalgebras of semisimple Lie algebras Constructing semisimple subalgebras of semisimple Lie algebras

2010-04-12

arxiv.org/abs/1004.1972v1

Mathematics

Rings and Algebras

19 pages

Scientific paper

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.

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