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Osamu Iyama, Higher-dimensional Auslander-Reiten theory on maximal orthogonal subcategories, Adv · 2007

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$g$-vectors and $DT$-$F$-polynomials for Grassmannians

math.RT · 2024-10-01 · unverdicted · novelty 6.0

Using Hom-infinite Frobenius categorification of the Grassmannian, the authors determine g-vectors of Plücker coordinates for the triangular seed and express DT F-polynomials in terms of 3D Young diagrams, giving a new proof of Weng's theorem.

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  • $g$-vectors and $DT$-$F$-polynomials for Grassmannians math.RT · 2024-10-01 · unverdicted · none · ref 30

    Using Hom-infinite Frobenius categorification of the Grassmannian, the authors determine g-vectors of Plücker coordinates for the triangular seed and express DT F-polynomials in terms of 3D Young diagrams, giving a new proof of Weng's theorem.