K-Fractional spin through Q-deformed (super)-algebras

The splitting of a Q-deformed boson, in the Q → q = e2πik 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(12m) and UQ(sl(m1)) 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.