分级李代数上的簕杜鹃花特性轮

arXiv - MATH - Representation Theory Pub Date : 2024-09-06 DOI:arxiv-2409.04030

Wille Liu, Cheng-Chiang Tsai, Kari Vilonen, Ting Xue

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引用次数: 0

摘要

我们在本文中证明，在有级李代数的背景下，所有uspidal character sheaves都是以一种非常特殊的方式由邻近循环构造和傅里叶--萨托变换（Fourier--Sato transform）产生的。结合前两位作者的研究成果，本文完成了对文伯格 I 型梯度经典列阵的无顶角特征卷的明确描述。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Cuspidal character sheaves on graded Lie algebras

We show in this paper that in the context of graded Lie algebras, all cuspidal character sheaves arise from a nearby-cycle construction followed by a Fourier--Sato transform in a very specific manner. Combined with results of the last two named authors, this completes the explicit description of cuspidal character sheaves for Vinberg's type I graded classical Lie algebras.

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arXiv - MATH - Representation Theory

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