Fractional Super Lie Algebras and Groups
  n^{th} root of a Lie algebra and its dual (that is fractional supergroup) based on the permutation group $S_n$ invariant forms are formulated in the Hopf algebra formalism. Detailed discussion of $S_3$-graided $sl(2)$ algebras is done. 
H. Ahmedov, A.Yildiz and Y. Ucan