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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

The action of a Coxeter element on an affine root system
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by Nathan Reading and Salvatore Stella PDF
Proc. Amer. Math. Soc. 148 (2020), 2783-2798

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.
References
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Additional Information
  • Nathan Reading
  • Affiliation: Department of Mathematics, North Carolina State University, Raleigh, North Carolina
  • MR Author ID: 643756
  • Salvatore Stella
  • Affiliation: Dipartimento di Matematica “G. Castelnuovo”, Università degli Studi di Roma “La Sapienza”, Piazzale Aldo Moro, 2, 00185 Roma, Italy
  • MR Author ID: 1025220
  • ORCID: 0000-0001-5390-2081
  • Email: stella@mat.uniroma1.it
  • Received by editor(s): August 22, 2018
  • Received by editor(s) in revised form: March 12, 2019, and July 13, 2019
  • Published electronically: April 16, 2020
  • Additional Notes: The first author was supported in part by NSF grants DMS-1101568 and DMS-1500949.
    The second author was partially supported by NCSU, INdAM, and the ISF grant 1144/16.
  • Communicated by: Patricia L. Hersh
  • © Copyright 2020 Nathan Reading and Salvatore Stella
  • Journal: Proc. Amer. Math. Soc. 148 (2020), 2783-2798
  • MSC (2010): Primary 20F55
  • DOI: https://doi.org/10.1090/proc/14769
  • MathSciNet review: 4099768