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arXiv · 2409.04030

Cuspidal character sheaves on graded Lie algebras

Wille Liu·Cheng-Chiang Tsai·Kari Vilonen·Ting Xue
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Abstract

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 classification of cuspidal character sheaves for Vinberg's type I graded classical Lie algebras.

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Wille Liu, Cheng-Chiang Tsai, Kari Vilonen, Ting Xue. 2024-09-06. Cuspidal character sheaves on graded Lie algebras. https://arxiv.org/abs/2409.04030

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