A cellular braid action and the Yang - Baxter equation
q-alg
2008-02-03 v1 量子代数
摘要
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.
引用
@article{arxiv.q-alg/9606015,
title = {A cellular braid action and the Yang - Baxter equation},
author = {Mirko Luedde},
journal= {arXiv preprint arXiv:q-alg/9606015},
year = {2008}
}
备注
8 pages, requires LaTeX2e with AMS extensions