The action of a Coxeter element on an affine root system

Published 15 Aug 2018 in math.CO | (1808.05090v3)

Abstract: The characterization of orbits of roots under the action of a Coxeter element is a fundamental tool in the study of finite root systems and their reflection groups. This paper develops the analogous tool in the affine setting, adding detail and uniformity to a result of Dlab and Ringel.

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