Sfb 288 Differential Geometry and Quantum Physics

Abstract for Sfb Preprint No. 210

A cellular braid action and the Yang - Baxter equation

M. Luedde

Using a theorem of Schechtman - Varchenko on integral expressions for solutions of Knizhnik - Zamolodchikov equations we prove that the solutions of the Yang - Baxter equation associated to complex simple Lie algebras belong to the class of generalised Magnus representations of the braid group. Hence they can be obtained from the homology of a certain cell complex, or equivalently as group homology of iterated free groups.

---

Get a gzip-compressed PostScript copy of this preprint
preprint210.ps.gz (48 kB)

---