Constructing semisimple subalgebras of semisimple Lie algebras

JOURNAL OF ALGEBRA

卷:325

Article

de Graaf, Willem A.

关键词: Semisimple Lie algebras;    Semisimple subalgebras;    Computational techniques;   

DOI  :  10.1016/j.jalgebra.2010.10.021

来源: Elsevier

【 摘 要 】

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.

【 授权许可】

Free