Graded q-pseudo-differential Operators and Supersymmetric Algebras

Abstract

We give a supersymmetric generalization of the sine algebra and the quantum algebra Ut(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 also get a quantum superalgebra Ut(sl(2/1).

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