A class of non-degenerate solvable Lie algebras and their derivations (Q928224)

A Lie algebra is called non-degenerate if it admits a non-degenerate symmetric bilinear form. Let \(A\) be an indecomposable Cartan matrix over the field of complex numbers. A class of non-degenerate solvable Lie algebras is constructed and the derivation algebras are found for the these algebras. The methods are classical, using Chevalley generators and weight modules.