Vertex operators for boundary algebras

Details Vertex operators for boundary algebras Vertex operators for boundary algebras

2001-08-31

arxiv.org/abs/math/0108221v1

Lett.Math.Phys. 58 (2001) 249-260

Mathematics

Quantum Algebra

11 pages, no figure, Latex2e

Scientific paper

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.

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