Abstract. In this note, we establish the connection between certain quantum algebras and generalized Clifford algebras (GCA). Precisely, we embed the quantum tori Lie algebra and Uq(sl(2)) in GCA.

Abstract. Supersymmetry can be consistently generalized in n-dimensional multicomplex space, a n-D Fractional supersymmetry theory is constructed via an algebraic method, using 2VI~Tn asa GCA the local invariant action is derived. The generators FSUSY here can be extended to get n-copies of Fractional-supervirasoro algebra.

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