2001/08/31 by E. Ragoucy
Mathematics · Physics and Astronomy · #math.QA #hep-th #math-ph #math.MP #msc:17B37 #msc:81R12
published as Lett.Math.Phys. 58 (2001) 249-260 · 11 pages, no figure, Latex2e
arxiv created 2001/08/31 · arxiv updated 2009/11/30
We construct embeddings of boundary algebras B into ZF algebras A. Since it is known that these algebras are the relevant ones for the study of quantum integrable systems (with boundaries for B and without for A), this connection allows to make the link between different approaches of the systems with boundaries. The construction uses the well-bred vertex operators built recently, and is classified by reflection matrices. It relies only on the existence of an R-matrix obeying a unitarity condition, and as such can be applied to any infinite dimensional quantum group.