English

Invariant systems and character sheaves for graded Lie algebras

Representation Theory 2024-10-29 v2 Algebraic Geometry

Abstract

In this paper we introduce a new ingredient, invariant systems of differential equations, to our study of character sheaves on graded Lie algebras. The character sheaves we construct in this paper, together with the ones constructed in [VX1, X2], constitute all cuspidal character sheaves for Vinberg's type I classical graded Lie algebras.

Keywords

Cite

@article{arxiv.2111.08403,
  title  = {Invariant systems and character sheaves for graded Lie algebras},
  author = {Kari Vilonen and Ting Xue},
  journal= {arXiv preprint arXiv:2111.08403},
  year   = {2024}
}