Susanna Fishel ; Matjaž Konvalinka - Number of standard strong marked tableaux

dmtcs:2340 - 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.2340
Number of standard strong marked tableauxConference paper

Authors: Susanna Fishel 1; Matjaž Konvalinka 2

  • 1 School of Mathematical and Statistical Sciences (Arizona, Tempe)
  • 2 Department of Mathematics

[en]
Many results involving Schur functions have analogues involving $k-$Schur functions. Standard strong marked tableaux play a role for $k-$Schur functions similar to the role standard Young tableaux play for Schur functions. We discuss results and conjectures toward an analogue of the hook length formula.

[fr]
De nombreux résultats impliquant les fonctions de Schur possèdent des analogues pour les fonctions de k-Schur. Les tableaux standard fortement marqués jouent un rôle pour les fonctions de k-Schur semblable á celui joué par les tableaux de Young pour les fonctions de Schur. Nous proposons ici des résultats et conjectures vers un analogue de la formule des équerres.


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: [INFO.INFO-DM]Computer Science [cs]/Discrete Mathematics [cs.DM], [en] k-Schur functions, strong marked tableaux, enumeration
Funding:
    Source : OpenAIRE Graph
  • The Combinatorics of Higher Dimensional Catalan Polynomials; Funder: National Science Foundation; Code: 1200280

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