Generalized Dynkin diagrams and root systems and their folding

Details Generalized Dynkin diagrams and root systems and their folding Generalized Dynkin diagrams and root systems and their folding

1997-07-03

arxiv.org/abs/hep-th/9707046v1

Physics

High Energy Physics

High Energy Physics - Theory

plain tex, 7 figures

Scientific paper

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)

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