James Haglund ; Sarah Mason ; Kurt Luoto ; Steph van Willigenburg - Quasisymmetric Schur functions

dmtcs:3605 - Discrete Mathematics & Theoretical Computer Science, January 1, 2008, DMTCS Proceedings vol. AJ, 20th Annual International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2008) - https://doi.org/10.46298/dmtcs.3605
Quasisymmetric Schur functionsArticle

Authors: James Haglund 1; Sarah Mason 2; Kurt Luoto 3; Steph van Willigenburg 4

We introduce a new basis for the algebra of quasisymmetric functions that naturally partitions Schur functions, called quasisymmetric Schur functions. We describe their expansion in terms of fundamental quasisymmetric functions and determine when a quasisymmetric Schur function is equal to a fundamental quasisymmetric function. We conclude by describing a Pieri rule for quasisymmetric Schur functions that naturally generalizes the Pieri rule for Schur functions.

https://doi.org/10.46298/dmtcs.3605
Source: HAL:hal-01185139v1
Volume: DMTCS Proceedings vol. AJ, 20th Annual International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2008)
Section: Proceedings
Published on: January 1, 2008
Imported on: May 10, 2017
Keywords: nonsymmetric Macdonald polynomials,Pieri rule,quasisymmetric functions,Schur functions,[MATH.MATH-CO] Mathematics [math]/Combinatorics [math.CO],[INFO.INFO-DM] Computer Science [cs]/Discrete Mathematics [cs.DM]
Funding:
    Source : OpenAIRE Graph
  • The Combinatorics of Macdonald Polynomials and Related Objects; Funder: National Science Foundation; Code: 0901467
  • Funder: Natural Sciences and Engineering Research Council of Canada
  • The Combinatorics of Macdonald Polynomials; Funder: National Science Foundation; Code: 0553619
  • PostDoctoral Research Fellowship; Funder: National Science Foundation; Code: 0603351

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