Type: Article

A graph-theoretical classiffcation for reflectable bases

Journal: Publications of the Research Institute for Mathematical Sciences (00345318)Year: 2019/01/01Volume: Issue: 4

Azam S.^a Soltani M.B. Tomie M. Yoshii Y.

a :University of Isfahan - IRAN(IR) - Isfahan

DOI:10.4171/PRIMS/55-4-2Language: English

Abstract

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. © 2019 Research Institute for Mathematical Sciences, Kyoto University. All rights reserved.