A Graph-Theoretical Classification for Reflectable Bases
Saeid Azam, Mohammad Bagher Soltani, Masaya Tomie, Yōji Yoshii · Publications of the Research Institute for Mathematical Sciences · 2019
We classify the reflectable bases of root systems of types A , B and D . We give a graph-theoretical characterization of reflectable bases and count the number of reflectable bases for each type. We also give a Dynkin-type characterization of reflectable bases of root systems of types A and D .