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 functionsArticle

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.

https://doi.org/10.46298/dmtcs.2914
Source: HAL:hal-01215113v1
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

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