Anna Weigandt ; Alexander Yong - The Prism tableau model for Schubert polynomials

dmtcs:6386 - 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.6386
The Prism tableau model for Schubert polynomials

Authors: Anna Weigandt ; Alexander Yong

    The Schubert polynomials lift the Schur basis of symmetric polynomials into a basis for Z[x1; x2; : : :]. We suggest the prism tableau model for these polynomials. A novel aspect of this alternative to earlier results is that it directly invokes semistandard tableaux; it does so as part of a colored tableau amalgam. In the Grassmannian case, a prism tableau with colors ignored is a semistandard Young tableau. Our arguments are developed from the Gr¨obner geometry of matrix Schubert varieties.


    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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