The charge statistic in type A via the Affine Grassmannian
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866913615167094784 |
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| author | Patimo, Leonardo |
| author_facet | Patimo, Leonardo |
| contents | We give a new construction of Lascoux-Schüetzenberger'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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_10562 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The charge statistic in type A via the Affine Grassmannian Patimo, Leonardo Representation Theory We give a new construction of Lascoux-Schüetzenberger'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. |
| title | The charge statistic in type A via the Affine Grassmannian |
| topic | Representation Theory |
| url | https://arxiv.org/abs/2412.10562 |