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  1. Home > Articles & Issues >
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  3. A polynomial realiza ...
Conference paper

A polynomial realization of the Hopf algebra of uniform block permutations

Rémi Maurice (1)
(1) Laboratoire d'Informatique Gaspard-Monge
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Imported on
January 31, 2017
Published on
December 31, 2011
Last modified on
March 31, 2025
Volume
DMTCS Proceedings vol. AR, 24th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2012)
Proceedings
DOI
10.46298/dmtcs.3031
License
Attribution-NonCommercial 4.0 International (CC BY-NC 4.0)
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A polynomial realization of the Hopf algebra of uniform block permutations

Rémi Maurice (1)
(1) Laboratoire d'Informatique Gaspard-Monge
Abstract
We investigate the combinatorial Hopf algebra based on uniform block permutations and we realize this algebra in terms of noncommutative polynomials in infinitely many bi-letters.
Keywords
  • [MATH.MATH-CO]Mathematics [math]/Combinatorics [math.CO]
  • [INFO.INFO-DM]Computer Science [cs]/Discrete Mathematics [cs.DM]
  • combinatorial Hopf algebras
  • uniform block permutations
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