k-fractional spin through quantum algebras and quantum superalgebras

The decomposition of a Q-deformed boson, in the Q→q=e2πi/k limit, is discussed. The equivalence between a Q-fermion and a conventional one is given. The properties of quantum algebras An, Bn, Cn and Dn and quantum superalgebras A(m,n), B(m,n), C(n+1) and D(n,m) in the limit when their deformation parameter Q goes to a root of unity, are investigated. These properties are seen to be related to the fractional supersymmetry and k-fermionic spin.