Jeffrey Ferreira - A Littlewood-Richardson type rule for row-strict quasisymmetric Schur functions

dmtcs:2914 - Discrete Mathematics & Theoretical Computer Science, January 1, 2011, DMTCS Proceedings vol. AO, 23rd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2011) - https://doi.org/10.46298/dmtcs.2914
A Littlewood-Richardson type rule for row-strict quasisymmetric Schur functions

Authors: Jeffrey Ferreira 1

  • 1 Department of Mathematics [Univ California Davis]

We establish several properties of an algorithm defined by Mason and Remmel (2010) which inserts a positive integer into a row-strict composition tableau. These properties lead to a Littlewood-Richardson type rule for expanding the product of a row-strict quasisymmetric Schur function and a symmetric Schur function in terms of row-strict quasisymmetric Schur functions.


Volume: DMTCS Proceedings vol. AO, 23rd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2011)
Section: Proceedings
Published on: January 1, 2011
Imported on: January 31, 2017
Keywords: Littlewood-Richardson rule,quasisymmetric function,Schur function,[MATH.MATH-CO] Mathematics [math]/Combinatorics [math.CO],[INFO.INFO-DM] Computer Science [cs]/Discrete Mathematics [cs.DM]
Funding:
    Source : OpenAIRE Graph
  • EMSW21-VIGRE: Focus on Mathematics; Funder: National Science Foundation; Code: 0636297

Linked publications - datasets - softwares

Source : ScholeXplorer IsRelatedTo ARXIV 0810.2489
Source : ScholeXplorer IsRelatedTo DOI 10.1016/j.jcta.2009.11.002
Source : ScholeXplorer IsRelatedTo DOI 10.46298/dmtcs.3605
Source : ScholeXplorer IsRelatedTo DOI 10.48550/arxiv.0810.2489
  • 10.46298/dmtcs.3605
  • 10.46298/dmtcs.3605
  • 0810.2489
  • 10.1016/j.jcta.2009.11.002
  • 10.48550/arxiv.0810.2489
Quasisymmetric Schur functions

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