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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

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

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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The equivariant Ehrhart theory of the permutahedron
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by Federico Ardila, Mariel Supina and Andrés R. Vindas-Meléndez
Proc. Amer. Math. Soc. 148 (2020), 5091-5107
DOI: https://doi.org/10.1090/proc/15113
Published electronically: September 17, 2020

Abstract:

Equivariant Ehrhart theory enumerates the lattice points in a polytope with respect to a group action. Answering a question of Stapledon, we describe the equivariant Ehrhart theory of the permutahedron, and we prove his Effectiveness Conjecture in this special case.
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Bibliographic Information
  • Federico Ardila
  • Affiliation: Department of Mathematics, San Francisco State University, 1600 Holloway Avenue, San Francisco, California 94132; Department of Mathematics, Universidad de Los Andes, Bogota, Columbia
  • MR Author ID: 725066
  • Email: federico@sfsu.edu
  • Mariel Supina
  • Affiliation: Department of Mathematics, 970 Evans Hall, University of California, Berkeley, Berkeley, California 94720-3840
  • Email: mariel_supina@berkeley.edu
  • Andrés R. Vindas-Meléndez
  • Affiliation: Department of Mathematics, San Francisco State University, 1600 Holloway Avenue, San Francisco, California 94132; Department of Mathematics, 719 Patterson Office Tower, University of Kentucky, Lexington, Kentucky 40506-0027
  • MR Author ID: 1353509
  • ORCID: 0000-0002-7437-3745
  • Email: andres.vindas@uky.edu
  • Received by editor(s): November 22, 2019
  • Received by editor(s) in revised form: March 6, 2020
  • Published electronically: September 17, 2020
  • Additional Notes: This work was completed while the first author was a Spring 2019 Visiting Professor at the Simons Institute for Theoretical Computer Science in Berkeley, and a 2019–2020 Simons Fellow while on sabbatical in Bogotá.
    The authors were supported by NSF Award DMS-1600609 and DMS-1855610 and Simons Fellowship 613384 (FA), the Graduate Fellowships for STEM Diversity (MS), and NSF Graduate Research Fellowship DGE-1247392 (ARVM)
  • Communicated by: Patricia L Hersh
  • © Copyright 2020 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 148 (2020), 5091-5107
  • MSC (2010): Primary 14L30, 14M25, 52B15, 52B20, 05E18
  • DOI: https://doi.org/10.1090/proc/15113
  • MathSciNet review: 4163825