This function constructs the simple Lie algebra of type X_n over the field F. The result is a Lie algebra defined by a multiplication table. Here X is a string which can be one of "A", "B", "C", "D", "E", "F" or "G" and n is a positive integer. In a few cases the Lie algebra returned by this function is not simple; examples are the Lie algebras of type A_n over a field of characteristic p>0 where p divides n + 1, and the Lie algebras of type D_1 and D_2.

> SimpleLieAlgebra("D", 7, RationalField());
Lie Algebra of dimension 91 with base ring Rational Field
> SimpleLieAlgebra("G", 2, GF(5));
Lie Algebra of dimension 14 with base ring GF(5)