Charges via the Affine Grassmannian

Fuente: arXiv
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Auteur principal: Patimo, Leonardo
Format: Preprint
Publié: 2021
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author Patimo, Leonardo
author_facet Patimo, Leonardo
contents We give a new construction of Lascoux-Schützenberger'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.
format Preprint
id arxiv_https___arxiv_org_abs_2106_02564
institution arXiv
publishDate 2021
record_format arxiv
spellingShingle Charges via the Affine Grassmannian
Patimo, Leonardo
Representation Theory
Combinatorics
We give a new construction of Lascoux-Schützenberger'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.
title Charges via the Affine Grassmannian
topic Representation Theory
Combinatorics
url https://arxiv.org/abs/2106.02564