Minimal Reduction Type and Affine Springer Fibers

Fuente: arXiv
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Autore principale: Chua, Anlong
Natura: Preprint
Pubblicazione: 2025
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author Chua, Anlong
author_facet Chua, Anlong
contents We extend a result of Yun on minimal reduction types to the parahoric case. This implies a uniqueness property for 2-special representations appearing in the cohomology of certain affine Springer fibers. Using this, we settle a conjecture of Lusztig on strata in a reductive group.
format Preprint
id arxiv_https___arxiv_org_abs_2504_05113
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Minimal Reduction Type and Affine Springer Fibers
Chua, Anlong
Representation Theory
We extend a result of Yun on minimal reduction types to the parahoric case. This implies a uniqueness property for 2-special representations appearing in the cohomology of certain affine Springer fibers. Using this, we settle a conjecture of Lusztig on strata in a reductive group.
title Minimal Reduction Type and Affine Springer Fibers
topic Representation Theory
url https://arxiv.org/abs/2504.05113