Gregg Musiker ; Victor Reiner - A topological interpretation of the cyclotomic polynomial

dmtcs:2945 - Discrete Mathematics & Theoretical Computer Science, January 1, 2011, DMTCS Proceedings vol. AO, 23rd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2011) - https://doi.org/10.46298/dmtcs.2945
A topological interpretation of the cyclotomic polynomialConference paper

Authors: Gregg Musiker 1; Victor Reiner 1

  • 1 School of Mathematics

[en]
We interpret the coefficients of the cyclotomic polynomial in terms of simplicial homology.

[fr]
Nous donnons une interprétation des coefficients du polynôme cyclotomique en utilisant l'homologie simpliciale.

https://doi.org/10.46298/dmtcs.2945
Source: HAL:hal-01215043v1
Volume: DMTCS Proceedings vol. AO, 23rd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2011)
Section: Proceedings
Published on: January 1, 2011
Imported on: January 31, 2017
Keywords: [MATH.MATH-CO]Mathematics [math]/Combinatorics [math.CO], [INFO.INFO-DM]Computer Science [cs]/Discrete Mathematics [cs.DM], [en] Cyclotomic polynomial, higher-dimensional tree, matroid duality, oriented matroid, simplicial matroid, simplicial homology
Funding:
    Source : OpenAIRE Graph
  • Reflection Group Combinatorics; Funder: National Science Foundation; Code: 1001933
  • Cluster algebras, critical groups, and tropical curves; Funder: National Science Foundation; Code: 1067183

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