The arithmetic of Coxeter permutahedra
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Published:2020-12-07
Issue:173
Volume:44
Page:1152-1166
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ISSN:2382-4980
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Container-title:Revista de la Academia Colombiana de Ciencias Exactas, Físicas y Naturales
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language:
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Short-container-title:Rev. Acad. Colomb. Cienc. Ex. Fis. Nat.
Author:
Ardila Federico,Beck Matthias,McWhirter Jodi
Abstract
Ehrhart theory mesures a polytope P discretely by counting the lattice points inside its dilates P, 2P, 3P, ..... We compute the Ehrhart theory of four families of polytopes of great importance in several areas of mathematics: the standard Coxeter permutahedra for the classical Coxeter groups An, Bn, Cn, Dn. A central tool, of independent interest, is a description of the Ehrhart theory of a rational translate of an integer projection of a cube.
Publisher
ACCEFYN - Academia Colombiana de Ciencias Exactas, Fisicas y Naturales
Subject
General Earth and Planetary Sciences,History and Philosophy of Science,General Physics and Astronomy,General Energy,General Agricultural and Biological Sciences,General Biochemistry, Genetics and Molecular Biology,General Mathematics,General Chemistry
Cited by
3 articles.
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