Generalized Dynkin diagrams and root systems and their folding
Jean-Bernard Zuber
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)
Create a lesson
Related papers
The stability of non-Abelian A4 vortices in SO(3) gauge theory
Yoshihiko Abe, Tetsutaro Higaki, Kazuya Murakami et al.
Catalan polynomials for the Wishart-Laguerre β-ensemble
Bei Kang, Lu-Yao Wang, Ke Wu et al.
Nambu's Dynamics, Strings and Gravitized Quantum Theory
Tristan Hübsch, Djordje Minic
Gauge-invariant nonperturbative Wilson action in quantum electrodynamics II
Sorato Nagao, Hiroshi Suzuki
Linear stability matrix and Lyapunov exponents for stationary spacetime
Xu Ye, Shao-Wen Wei
Mutual Information of Measurement in Conformal Field Theories
Israel Klich, Ravisankar Rajagopal, Diana Vaman