The q-calculus for generic q and q a root of unity
R. S. Dunne, A. J. Macfarlane, J. A. de Azcárraga, J. C. Pérez Bueno
Abstract
The q-calculus for generic q is developed and related to the deformed oscillator of parameter q1/2. By passing with care to the limit in which q is a root of unity, one uncovers the full algebraic structure of Zn-graded fractional supersymmetry and its natural representation.
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