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Charges via the Affine Grassmannian

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arxiv 2106.02564 v3 pith:462FQNAN submitted 2021-06-04 math.RT math.CO

Leonardo Patimo This is my paper
classification math.RTmath.CO
keywords chargeformulastatisticaffinechargescombinatoricsconstructioncrystal
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We give a new construction of Lascoux-Sch\"utzenberger's charge statistic in type A which is motivated by the geometric Satake equivalence We obtain a new formula for the charge statistic in terms of modified crystal operators and an independent proof of this formula not relying on tableaux combinatorics.

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Cited by 1 Pith paper

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  1. Unveiling Crystal Embeddings: New Perspectives on String Polytopes and Atomic Decompositions

    math.RT 2025-05 conditional novelty 6.0 of 10

    The paper constructs n-1 crystal embeddings of type A string polytopes and conjectures they yield n-1 atomic decompositions of B(kθ).

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