The equivariant Ehrhart theory of the permutahedron
Authors:
Federico Ardila, Mariel Supina and Andrés R. Vindas-Meléndez
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
Published electronically:
September 17, 2020
MathSciNet review:
4163825
Full-text PDF
Abstract | References | Similar Articles | Additional Information
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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Additional 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
Article copyright:
© Copyright 2020
American Mathematical Society
