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- W4297579280 abstract "The necessary and sufficient Horn inequalities which determine the non-vanishing Littlewood-Richardson coefficients in the cohomology of a Grassmannian are recursive in that they are naturally indexed by non-vanishing Littlewood-Richardson coefficients on smaller Grassmannians. We show how non-vanishing in the Schubert calculus for cominuscule flag varieties is similarly recursive. For these varieties, the non-vanishing of products of Schubert classes is controlled by the non-vanishing products on smaller cominuscule flag varieties. In particular, we show that the lists of Schubert classes whose product is non-zero naturally correspond to the integer points in the feasibility polytope, which is defined by inequalities coming from non-vanishing products of Schubert classes on smaller cominuscule flag varieties. While the Grassmannian is cominuscule, our necessary and sufficient inequalities are different than the classical Horn inequalities." @default.
- W4297579280 created "2022-09-30" @default.
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- W4297579280 date "2006-07-26" @default.
- W4297579280 modified "2023-10-17" @default.
- W4297579280 title "The recursive nature of cominuscule Schubert calculus" @default.
- W4297579280 doi "https://doi.org/10.48550/arxiv.math/0607669" @default.
- W4297579280 hasPublicationYear "2006" @default.
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