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arXiv · 2412.10562

The charge statistic in type A via the Affine Grassmannian

Leonardo Patimo
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Abstract

We give a new construction of Lascoux-Sch\"uetzenberger'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 which does not rely on tableaux combinatorics.

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Leonardo Patimo. 2024-12-13. The charge statistic in type A via the Affine Grassmannian. https://arxiv.org/abs/2412.10562

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