English

Graph Quantum Groups

High Energy Physics - Theory 2007-05-23 v1

Abstract

We define a new mathematical structure ( graph quantum group) which combines the tower of algebras associated with a graph G{\cal G} and the structure of a Hopf algebra {\cal A}. In this structure Ocneanu's string operators become Hopf algebra intertwiners. We present some examples of graph quantum groups.

Keywords

Cite

@article{arxiv.hep-th/9312177,
  title  = {Graph Quantum Groups},
  author = {C. Gomez and G. Sierra},
  journal= {arXiv preprint arXiv:hep-th/9312177},
  year   = {2007}
}

Comments

13 pages, latex (use the macro epic.sty available from hepth)