K-FRACTIONAL SPIN THROUGH Q-DEFORMED (SUPER)-ALGEBRAS

The splitting of a Q-deformed boson, in the Q-> q = e ^(2(pi)i/k) limit, is discussed. The equivalence between a Q-fermion and an ordinary one is established. The properties of quantum algebras UQ(sl(m)), the quantum superalgebras ospQ(1/2m) and UQ(sl(m/1)) and the deformed Virasoro algebra 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.