Abstract
We consider the algebra MN(C) ofN × N matrices as a cyclic quantum plane.We also analyze the coaction of the quantum group F and the action of its dualquantum algebra H on it. Then we study the decomposition ofMN (C) in termsof the quantum algebra representations. Finally, we develop the differential algebraof the cyclic group ZN with dN= 0, where ZN is viewed as the the subalgebraof diagonal N × N complex matrices, and treat the particularcase N = 3.
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