Type: Article

A Graph-Theoretical Classification for Reflectable Bases

Journal: Publications of the Research Institute for Mathematical Sciences (16634926)Year: 2019Volume: 55Issue: 4Pages: 689 - 736

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.

Author Keywords

Root systemsreflectable basesextended affine root systemsaffine reflection systemsWeyl groups

Other Keywords

AFFINE ROOT SYSTEMSWEYL GROUPS