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The action of a Coxeter element on an affine root system
Nathan Reading, Salvatore Stella · 2018-08-15 · via math.CO updates on arXiv.org

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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