The Prism tableau model for Schubert polynomials
2020 ◽
Vol DMTCS Proceedings, 28th...
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International audience 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.
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2020 ◽
Vol DMTCS Proceedings, 28th...
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