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  1. Home > Articles & Issues >
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  3. Dual Immaculate Quas ...
Conference paper

Dual Immaculate Quasisymmetric Functions Expand Positively into Young Quasisymmetric Schur Functions

Edward Allen (1), Joshua Hallam (1), Sarah Mason ORCID (1)
(1) Department of Mathematics
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Imported on
July 4, 2016
Published on
April 22, 2020
Last modified on
March 31, 2025
Volume
DMTCS Proceedings, 28th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2016)
DOI
10.46298/dmtcs.6410
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https://about.hal.science/hal-authorisation-v1
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Dual Immaculate Quasisymmetric Functions Expand Positively into Young Quasisymmetric Schur Functions

Edward Allen (1), Joshua Hallam (1), Sarah Mason ORCID (1)
(1) Department of Mathematics
Abstract
We describe a combinatorial formula for the coefficients when the dual immaculate quasisymmetric func- tions are decomposed into Young quasisymmetric Schur functions. We prove this using an analogue of Schensted insertion. We also provide a Remmel-Whitney style rule to generate these coefficients algorithmically.
Keywords
  • [MATH.MATH-CO]Mathematics [math]/Combinatorics [math.CO]
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