English

Generalized Dynkin diagrams and root systems and their folding

High Energy Physics - Theory 2007-05-23 v1

Abstract

Graphs which generalize the simple or affine Dynkin diagrams are introduced. Each diagram defines a bilinear form on a root system and thus a reflection group. We present some properties of these groups and of their natural "Coxeter element". The folding of these graphs and groups is also discussed, using the theory of C-algebras. (Proceedings of the Taniguchi Symposium {Topological Field Theory, Primitive Forms and Related Topics}, Kyoto Dec 1996)

Keywords

Cite

@article{arxiv.hep-th/9707046,
  title  = {Generalized Dynkin diagrams and root systems and their folding},
  author = {Jean-Bernard Zuber},
  journal= {arXiv preprint arXiv:hep-th/9707046},
  year   = {2007}
}

Comments

plain tex, 7 figures

R2 v1 2026-07-22T16:05:54.573Z