Article ID Journal Published Year Pages File Type
4602556 Linear Algebra and its Applications 2009 4 Pages PDF
Abstract

This note is devoted to the construction of two very easy examples, of respective dimensions 4 and 6, of graded Lie algebras whose grading is not given by a semigroup, the latter one being a semisimple algebra. It is shown that 4 is the minimal possible dimension for such graded Lie algebras.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory