Cuspidal character sheaves on graded Lie algebras II

TL;DR

This paper classifies cyclically graded semisimple Lie algebras with cuspidal character sheaves and determines their support, advancing the explicit classification of such sheaves in graded Lie algebra theory.

Contribution

It provides a complete classification of cyclically graded semisimple Lie algebras with cuspidal character sheaves and identifies their support, a key step in understanding these structures.

Findings

Classification of cyclically graded semisimple Lie algebras with cuspidal character sheaves

Determination of the support of cuspidal character sheaves

Progress towards explicit classification of cuspidal character sheaves

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.