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  1. Home > Articles & Issues >
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  3. A topological interp ...
Conference paper

A topological interpretation of the cyclotomic polynomial

Gregg Musiker (1), Victor Reiner (1)
(1) School of Mathematics
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Imported on
January 31, 2017
Published on
December 31, 2010
Last modified on
March 31, 2025
Volume
DMTCS Proceedings vol. AO, 23rd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2011)
Proceedings
DOI
10.46298/dmtcs.2945
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https://about.hal.science/hal-authorisation-v1
Reflection Group Combinatorics
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A topological interpretation of the cyclotomic polynomial

Gregg Musiker (1), Victor Reiner (1)
(1) School of Mathematics
Abstract
English
We interpret the coefficients of the cyclotomic polynomial in terms of simplicial homology.
French
Nous donnons une interprétation des coefficients du polynôme cyclotomique en utilisant l'homologie simpliciale.
Keywords
  • [MATH.MATH-CO]Mathematics [math]/Combinatorics [math.CO]
  • [INFO.INFO-DM]Computer Science [cs]/Discrete Mathematics [cs.DM]
  • Cyclotomic polynomial
  • higher-dimensional tree
  • matroid duality
  • oriented matroid
  • simplicial matroid
  • simplicial homology
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