2008/10/25 by Chuying Fang, Fang, Chuying
Mathematics · #Combinatorics (math.CO) #FOS: Mathematics #Representation Theory (math.RT) #math.CO #math.RT
paper · pdf · doi:10.48550/arxiv.0810.4600
arxiv created 2008/10/25 · arxiv updated 2009/12/01
In 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 An-1.