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

Henrik Thys (1)

1 IRMA - Institut de Recherche Mathématique Avancée

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.

Domaines: Algèbres quantiques [math.QA]

Henrik Thys. A universal R-matrix for the quantization of the Lie superalgebra D(2,1,x) and an associated link invariant. 2001. ⟨hal-00022928⟩