  The basics of quasitriangular Hopf algebras and quantum Lie algebras are
briefly reviewed, and it is shown that their properties allow the introduction
of a Killing form. For quantum Lie algebras, this leads to the definitions of a
Killing metric and quadratic casimir. The specific case of $\uea{su}{N}$ is
examined in detail, where it is shown that many of the classical results are
reproduced, and explicit calculations to illustrate the conclusions are
presented for $\uea{su}{2}$.
