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 - 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
- General Computer Science
- Discrete Mathematics and Combinatorics