Edward Allen ; Joshua Hallam ; Sarah Mason
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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)
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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
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Edward Allen;Joshua Hallam;Sarah Mason
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.