A universal R-matrix for the quantization of the Lie superalgebra D(2,1,x) and an associated link invariant

Abstract

Using the quantum double method, we construct a universal R-matrix for the quantization of the Lie superalgebra D(2,1,x). We use this result to construct a link invariant and show it coincides with a specialization of Kauffman's Dubrovnik polynomial.

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