Charges via the Affine Grassmannian

2021/06/04 by Patimo, Leonardo
#Combinatorics (math.CO) #FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2106.02564

Abstract

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.

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