Abstract.
The splitting of a Q-deformed boson, in the \(Q \to q = e^{\frac{{2\pi {\text{i}}}}{{\text{k}}}} \) limit, is discussed. The equivalence between a Q-fermion and an ordinary one is established. The properties of the quantum (super)Virasoro algebras when their deformation parameter Q goes to a root of unity, are investigated. These properties are shown to be related to fractional supersymmetry and k-fermionic spin.
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Mansour, M., Zakkari, E.H. FRACTIONAL SPIN THROUGH QUANTUM (SUPER)VIRASORO ALGEBRAS. AACA 14, 69–80 (2004). https://doi.org/10.1007/s00006-004-0007-3
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DOI: https://doi.org/10.1007/s00006-004-0007-3