%0 Journal Article
%T Ad-nilpotent Ideals of Minimal Dimension
%A Chuying Fang
%J Mathematics
%D 2008
%I arXiv
%X n this paper we study ad-nilpotent ideals of a complex simple Lie algebra $\ccg$ and their connections with affine Weyl groups and nilpotent orbits. We define a left equivalence relation for ad-nilpotent ideals based on their normalizer and generators, and prove that the equivalence relation is compatible with the left cell structure of affine Weyl group of $\ccg$ and Lusztig's star operator for type $\tilde A_{n-1}$.
%U http://arxiv.org/abs/0810.4601v1