Wenzl, Hans Representations of braid groups and the quantum Yang-Baxter equation. (English) Zbl 0735.57004 Pac. J. Math. 145, No. 1, 153-180 (1990). Given a knot or link \(L\) in \(S^ 3\), one can obtain a series of polynomial invariants by cabling each component of \(L\). This construction was well-studied by J. Murakami, Akutsu and Wadati, and others, either using representation theory or using the solution of the Yang-Baxter equation in statistical mechanics. In this paper, a representation- theoretical approach to these invariants, similar to J. Murakami, is presented. Reviewer: K.Murasugi (Toronto) Cited in 15 Documents MSC: 57M25 Knots and links in the \(3\)-sphere (MSC2010) 20F36 Braid groups; Artin groups Keywords:braid group; Jones polynomial; parallel knot; link; cabling; Yang-Baxter equation PDFBibTeX XMLCite \textit{H. Wenzl}, Pac. J. Math. 145, No. 1, 153--180 (1990; Zbl 0735.57004) Full Text: DOI