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.
The action of a Coxeter element on an affine root system / Reading, Nathan; Stella, Salvatore. - In: PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY. - ISSN 0002-9939. - 148:7(2020), pp. 2783-2798. [10.1090/proc/14769]
The action of a Coxeter element on an affine root system
Stella, Salvatore
2020
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.File allegati a questo prodotto
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