×

Representations of braid groups and the quantum Yang-Baxter equation. (English) Zbl 0735.57004

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.

MSC:

57M25 Knots and links in the \(3\)-sphere (MSC2010)
20F36 Braid groups; Artin groups
PDFBibTeX XMLCite
Full Text: DOI