Nonsolvable contractions of semisimple Lie algebras in low dimension
Abstract
The problem of nonsolvable contractions of Lie algebras is analysed. By means of a stability theorem, the problem is shown to be deeply related to the embeddings among semisimple Lie algebras and the resulting branching rules for representations. With this procedure, we determine all deformations of indecomposable Lie algebras having a nontrivial Levi decomposition onto semisimple Lie algebras of dimension n <= 8, and obtain the nonsolvable contractions of the latter class of algebras.
 Publication:

Journal of Physics A Mathematical General
 Pub Date:
 May 2007
 DOI:
 10.1088/17518113/40/20/008
 arXiv:
 arXiv:0706.0222
 Bibcode:
 2007JPhA...40.5355C
 Keywords:

 High Energy Physics  Theory
 EPrint:
 21 pages. 2 Tables, 2 figures