Rémi Maurice - A polynomial realization of the Hopf algebra of uniform block permutations

dmtcs:3031 - Discrete Mathematics & Theoretical Computer Science, January 1, 2012, DMTCS Proceedings vol. AR, 24th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2012) - https://doi.org/10.46298/dmtcs.3031
A polynomial realization of the Hopf algebra of uniform block permutations

Authors: Rémi Maurice 1

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.

https://doi.org/10.46298/dmtcs.3031
Source: HAL:hal-01044879v1
Volume: DMTCS Proceedings vol. AR, 24th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2012)
Section: Proceedings
Published on: January 1, 2012
Imported on: January 31, 2017
Keywords: combinatorial Hopf algebras,uniform block permutations,[MATH.MATH-CO] Mathematics [math]/Combinatorics [math.CO],[INFO.INFO-DM] Computer Science [cs]/Discrete Mathematics [cs.DM]
Licence: Attribution-NonCommercial 4.0 International (CC BY-NC 4.0)

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Source : ScholeXplorer IsRelatedTo ARXIV math/0105065
Source : ScholeXplorer IsRelatedTo DOI 10.1142/s0218196702001139
Source : ScholeXplorer IsRelatedTo DOI 10.48550/arxiv.math/0105065
  • math/0105065
  • 10.48550/arxiv.math/0105065
  • 10.1142/s0218196702001139
  • 10.1142/s0218196702001139
NONCOMMUTATIVE SYMMETRIC FUNCTIONS VI: FREE QUASI-SYMMETRIC FUNCTIONS AND RELATED ALGEBRAS

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