This work is a revised version of the author's Ph.D. thesis written under the supervision of J. Lepowsky at Rutgers University in 1983.

Table of Contents

• Chevalley bases for semisimple and type 1 affine Lie algebras of types \(A\), \(D\), \(E\)
• Chevalley bases for the remaining semisimple and affine Lie algebras
• Integral forms of enveloping algebras of affine Lie algebras