Ad-nilpotent ideals of a Borel subalgebra II

JOURNAL OF ALGEBRA

卷:258

Article

Cellini, P ; Papi, P

关键词: ad-nilpotent ideal;    Lie algebra;    order ideal;    hyperplane arrangement;    Weyl group;    affine Weyl group;   

DOI  :  10.1016/S0021-8693(02)00532-X

来源: Elsevier

【 摘 要 】

We provide an explicit bijection between the ad-nilpotent ideals of a Borel subalgebra. of a simple Lie algebra g and the orbits of Q/(h + 1) 6 under the Weyl group (Q being the coroot lattice and It the Coxeter number of g). From this result we deduce in a uniform way a counting formula for the ad-nilpotent ideals. (C) 2002 Elsevier Science (USA). All rights reserved.

【 授权许可】

Free