Ad-nilpotent ideals and equivalence relations

JOURNAL OF ALGEBRA

卷:323

Article

Fang, Chuying

关键词: Semisimple Lie algebras;    Nilpotent orbits;    Ad-nilpotent ideals;   

DOI  :  10.1016/j.jalgebra.2010.01.015

来源: Elsevier

【 摘 要 】

In this paper We Study ad-nilpotent ideals of a complex simple Lie algebra g 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 corresponds to Lusztig's star operation for simply laced algebraic group G. (C) 2010 Elsevier Inc. All rights reserved.

【 授权许可】

Free