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

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

2001-04-10

arxiv.org/abs/math/0104110v2

Mathematics

Quantum Algebra

23 pages

Scientific paper

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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