Journal
JOURNAL OF ALGEBRA
Volume 325, Issue 1, Pages 416-430Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jalgebra.2010.10.021
Keywords
Semisimple Lie algebras; Semisimple subalgebras; Computational techniques
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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. (C) 2010 Elsevier Inc. All rights reserved.
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