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 1; Alexander Yong 1

  • 1 Department of Mathematics [Urbana]

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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Source : ScholeXplorer IsRelatedTo ARXIV 1702.02936
Source : ScholeXplorer IsRelatedTo DOI 10.46298/dmtcs.6412
Source : ScholeXplorer IsRelatedTo DOI 10.48550/arxiv.1702.02936
  • 10.46298/dmtcs.6412
  • 10.46298/dmtcs.6412
  • 1702.02936
  • 10.48550/arxiv.1702.02936
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