A MULTI-DIMENSIONAL APPROACH IN MATHEMATICS TEACHER EDUCATION PROGRAMS: “COMPUTATIONS IN FREE AND FINITELY GENERATED LIE ALGEBRAS” EXAMPLE

Let L be a finitely generated Lie algebra and B be an arbitrary subalgebra of L . The maximal linearly independent set of the algebra L modulo the subalgebra B is called the modulo B basis of L . In this article we apply computer techniques to compute the modulo B basis of L using an algorithm given by Aydın in her PhD thesis.