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  1. Home > Articles & Issues >
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  3. Redfield-Pólya theor ...
Conference paper

Redfield-Pólya theorem in $\mathrm{WSym}$

Jean-Paul Bultel (1), Ali Chouria (1), Jean-Gabriel Luque ORCID (1), Olivier Mallet (1)
(1) Laboratoire d'Informatique, de Traitement de l'Information et des Systèmes
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Imported on
November 21, 2016
Published on
December 31, 2012
Last modified on
March 31, 2025
Volume
DMTCS Proceedings vol. AS, 25th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2013)
Proceedings
DOI
10.46298/dmtcs.2324
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https://about.hal.science/hal-authorisation-v1
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Redfield-Pólya theorem in $\mathrm{WSym}$

Jean-Paul Bultel (1), Ali Chouria (1), Jean-Gabriel Luque ORCID (1), Olivier Mallet (1)
(1) Laboratoire d'Informatique, de Traitement de l'Information et des Systèmes
Abstract
English
We give noncommutative versions of the Redfield-Pólya theorem in $\mathrm{WSym}$, the algebra of word symmetric functions, and in other related combinatorial Hopf algebras.
French
Nous donnons des versions non-commutatives du théorème d’énumération de Redfield-Pólya dans $\mathrm{WSym}$, l’algèbre des fonctions symétriques sur les mots, ainsi que dans d’autres algèbres de Hopf combinatoires.
Keywords
  • [INFO.INFO-DM]Computer Science [cs]/Discrete Mathematics [cs.DM]
  • Symmetric functions
  • Redfield-Pólya theorem
  • Combinatorial Hopf algebras
  • Operads
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