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arXiv · 1004.1972

Constructing semisimple subalgebras of semisimple Lie algebras

Willem A. de Graaf
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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.

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Willem A. de Graaf. 2010-04-12. Constructing semisimple subalgebras of semisimple Lie algebras. https://arxiv.org/abs/1004.1972

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