Graded q-pseudo-differential Operators and Supersymmetric Algebras

Abstract

We give a supersymmetric generalization of the sine algebra and the quantum algebra $U_{t}(sl(2))$. Making use of the q-pseudo-differential operators graded with a fermionic algebra, we obtain a supersymmetric extension of sine algebra. With this scheme we get also a quantum superalgebra $U_{t}(sl(2/1)$