### 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 language | English (US) |
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Pages (from-to) | 1203-1214 |

Number of pages | 12 |

Journal | Discrete Mathematics and Theoretical Computer Science |

State | Published - Jan 1 2016 |

Event | 28th International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC 2016 - Vancouver, Canada Duration: Jul 4 2016 → Jul 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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## Cite this

Weigandt, A., & Yong, A. (2016). The Prism tableau model for Schubert polynomials.

*Discrete Mathematics and Theoretical Computer Science*, 1203-1214.