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  1. Home > Articles & Issues >
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  3. The Prism tableau mo ...
Conference paper

The Prism tableau model for Schubert polynomials

Anna Weigandt ORCID (1), Alexander Yong (1)
(1) Department of Mathematics [Urbana]
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Imported on
July 4, 2016
Published on
April 22, 2020
Last modified on
March 31, 2025
Volume
DMTCS Proceedings, 28th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2016)
DOI
10.46298/dmtcs.6386
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https://about.hal.science/hal-authorisation-v1
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The Prism tableau model for Schubert polynomials

Anna Weigandt ORCID (1), Alexander Yong (1)
(1) Department of Mathematics [Urbana]
Abstract
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.
Keywords
  • [MATH.MATH-CO]Mathematics [math]/Combinatorics [math.CO]
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