The Prism tableau model for Schubert polynomials

Anna Weigandt, Alexander Yong

Research output: Contribution to journalConference article

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)1203-1214
Number of pages12
JournalDiscrete Mathematics and Theoretical Computer Science
StatePublished - Jan 1 2016
Event28th International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC 2016 - Vancouver, Canada
Duration: Jul 4 2016Jul 8 2016

Keywords

  • Gröbner geometry
  • Schubert polynomials
  • Young tableau

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Computer Science(all)
  • Discrete Mathematics and Combinatorics

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