Cuspidal character sheaves on graded Lie algebras
Representation Theory
2025-12-29 v3 Algebraic Geometry
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.
Keywords
Cite
@article{arxiv.2409.04030,
title = {Cuspidal character sheaves on graded Lie algebras},
author = {Wille Liu and Cheng-Chiang Tsai and Kari Vilonen and Ting Xue},
journal= {arXiv preprint arXiv:2409.04030},
year = {2025}
}
Comments
A new section added