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Constructing semisimple subalgebras of semisimple Lie algebras

2010/04/12 by Willem A. de Graaf, de Graaf, Willem A.
Chemistry · #17B20 #Carbohydrate Chemistry and Synthesis #FOS: Mathematics #Rings and Algebras (math.RA) #Synthetic Organic Chemistry Methods

paper · pdf · doi:10.48550/arxiv.1004.1972

openalex publication_date 2010/04/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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