Charges via the Affine Grassmannian
Representation Theory
2024-12-18 v3 Combinatorics
Abstract
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.
Keywords
Cite
@article{arxiv.2106.02564,
title = {Charges via the Affine Grassmannian},
author = {Leonardo Patimo},
journal= {arXiv preprint arXiv:2106.02564},
year = {2024}
}
Comments
This version includes an expanded treatment of the first two chapters. The results on type A have been relocated to arXiv:2412.10562