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The action of a Coxeter element on an affine root system

2018/08/15 by Reading, Nathan, Stella, Salvatore
#13F60 #Combinatorics (math.CO) #FOS: Mathematics

paper · doi:10.48550/arxiv.1808.05090

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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