Enhancing an R-matrix

Details Enhancing an R-matrix Enhancing an R-matrix

1996-11-21

arxiv.org/abs/q-alg/9611026v2

Mathematics

Quantum Algebra

35 pages, Latex, macros and figures included. One reference was corrected

Scientific paper

In order to construct a representation of the tangle category one needs an enhanced R-matrix. In this paper we define a sufficient and necessary condition for enhancement that can be checked easily for any R-matrix. If the R-matrix can be enhanced, we also show how to construct the additional data that define the enhancement. As a direct consequence we find a sufficient condition for the construction of a knot invariant.

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