Harish-Chandra 诱导与特征的 Jordan 分解
表示论
2026-05-12 v3
摘要
我们证明，对任意有限连通约化群，总可选择一种 Jordan 分解使其与 Harish-Chandra 诱导交换。在此过程中，我们证明 Levi 子群的余尖表示的 Harish-Chandra 诱导的自同态代数同构于一个幂等对应物。这些结果推广了关于具有连通中心的群的已知结论。
引用
@article{arxiv.2209.00574,
title = {Harish-Chandra Induction and Jordan Decomposition of Characters},
author = {Prashant Arote and Manish Mishra},
journal= {arXiv preprint arXiv:2209.00574},
year = {2026}
}
备注
The authors request withdrawal of this submission because arXiv:2605.03036 is a substantially revised and expanded version containing significant new results, major revisions, and restructuring. Maintaining both submissions may confuse readers; please refer to arXiv:2605.03036 for the most up-to-date version of this work.