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

Authors: Allen, Edward, and Hallam, Joshua and Mason, Sarah,

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.


Volume: DMTCS Proceedings, 28th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2016)
Published on: April 22, 2020
Submitted on: July 4, 2016
Keywords: [MATH.MATH-CO]Mathematics [math]/Combinatorics [math.CO]


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