The Prism tableau model for Schubert polynomials

Anna Weigandt, Alexander Yong

Research output: Contribution to journalArticlepeer-review

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 Gröbner geometry of matrix Schubert varieties.

Original languageEnglish (US)
Pages (from-to)551-582
Number of pages32
JournalJournal of Combinatorial Theory. Series A
Volume154
DOIs
StatePublished - Feb 2018

Keywords

  • BiGrassmannian permutations
  • Schubert polynomials
  • Semistandard tableaux

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Discrete Mathematics and Combinatorics
  • Computational Theory and Mathematics

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