Chris Berg ; Nantel Bergeron ; Franco Saliola ; Luis Serrano ; Mike Zabrocki - Immaculate basis of the non-commutative symmetric functions

dmtcs:12810 - Discrete Mathematics & Theoretical Computer Science, January 1, 2013, DMTCS Proceedings vol. AS, 25th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2013) - https://doi.org/10.46298/dmtcs.12810
Immaculate basis of the non-commutative symmetric functionsArticle

Authors: Chris Berg 1; Nantel Bergeron 2; Franco Saliola 1; Luis Serrano ORCID1; Mike Zabrocki 3,2

  • 1 Laboratoire de combinatoire et d'informatique mathématique [Montréal]
  • 2 Department of Mathematics and Statistics [Toronto]
  • 3 Fields Institute for Research In Mathematical Sciences

We introduce a new basis of the non-commutative symmetric functions whose elements have Schur functions as their commutative images. Dually, we build a basis of the quasi-symmetric functions which expand positively in the fundamental quasi-symmetric functions and decompose Schur functions according to a signed combinatorial formula.

https://doi.org/10.46298/dmtcs.12810
Source: HAL:hal-01229712v1
Volume: DMTCS Proceedings vol. AS, 25th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2013)
Section: Proceedings
Published on: January 1, 2013
Imported on: November 21, 2016
Keywords: non-commutative symmetric functions,quasi-symmetric functions,tableaux,Schur functions,[INFO.INFO-DM]Computer Science [cs]/Discrete Mathematics [cs.DM]
Funding:
    Source : OpenAIRE Graph
  • Funder: Natural Sciences and Engineering Research Council of Canada

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