English

Cuspidal character sheaves on graded Lie algebras II

Representation Theory 2025-12-24 v1 Algebraic Geometry

Abstract

In this paper we give a complete classification of cyclically graded semisimple Lie algebras that afford cuspidal character sheaves and determine the support of the cuspidal character sheaves. This constitutes a major step towards the explicit classification of cuspidal character sheaves for graded Lie algebras.

Keywords

Cite

@article{arxiv.2512.20472,
  title  = {Cuspidal character sheaves on graded Lie algebras II},
  author = {Wille Liu and Kari Vilonen and Ting Xue},
  journal= {arXiv preprint arXiv:2512.20472},
  year   = {2025}
}