  The bicovariant differential calculi on quantum groups of Woronowicz have the
drawback that their dimensions do not agree with that of the corresponding
classical calculus. In this paper we discuss the first-order differential
calculus which arises from a simple quantum Lie algebra. This calculus has the
correct dimension and is shown to be bicovariant and complete. But it does not
satisfy the Leibniz rule. For sl_n this approach leads to a differential
calculus which satisfies a simple generalization of the Leibniz rule.

Quantum Algebra;Quantum Algebra