Article ID Journal Published Year Pages File Type
4602394 Linear Algebra and its Applications 2008 27 Pages PDF
Abstract

We describe the models of the exceptional Lie algebra F4 which are based on its semisimple subalgebras of rank 4. The underlying fact is that any reductive subalgebra of maximal rank of a simple Lie algebra induces a grading on this algebra by means of an abelian group, in such a way that the nontrivial components of the grading are irreducible modules.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory