Edward Allen ; Joshua Hallam ; Sarah Mason - Dual Immaculate Quasisymmetric Functions Expand Positively into Young Quasisymmetric Schur Functions

dmtcs:6410 - Discrete Mathematics & Theoretical Computer Science, April 22, 2020, DMTCS Proceedings, 28th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2016) - https://doi.org/10.46298/dmtcs.6410
Dual Immaculate Quasisymmetric Functions Expand Positively into Young Quasisymmetric Schur Functions

Authors: Edward Allen 1; Joshua Hallam 1; Sarah Mason 1

  • 1 Department of Mathematics

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.

https://doi.org/10.46298/dmtcs.6410
Source: HAL:hal-02173793v1
Volume: DMTCS Proceedings, 28th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2016)
Published on: April 22, 2020
Imported on: July 4, 2016
Keywords: [MATH.MATH-CO]Mathematics [math]/Combinatorics [math.CO]

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