%0 Journal Article
%T ad-nilpotent ideals of a Borel subalgebra III
%A P. Cellini
%A P. Papi
%J Mathematics
%D 2003
%I arXiv
%X This paper is devoted to a detailed study of certain remarkable posets which form a natural partition of all abelian ideals of a Borel subalgebra. Our main result is a nice uniform formula for the dimension of maximal ideals in these posets. We also obtain results on ad-nilpotent ideals which complete the analysis started in \cite{CP2}, \cite{CP3}.
%U http://arxiv.org/abs/math/0303065v2