JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, vol.35, no.30, pp.6307-6318, 2002 (SCI-Expanded)
In this work, the Z(3)-graded differential geometry of the quantum plane is constructed. The corresponding quantum Lie algebra and its Hopf algebra structure are obtained. The dual algebra, i.e. the universal enveloping algebra of the quantum plane is explicitly constructed.