2003/03/05 by P. Cellini, Cellini, P., P. Papi +1
Mathematics · #FOS: Mathematics #Representation Theory (math.RT) #math.RT
paper · pdf · doi:10.48550/arxiv.math/0303065
AmsTex file, 38 pages; revised version. To appear in Advances in Mathematics under the title "Abelian ideals of Borel subalgebras and affine Weyl groups"
arxiv created 2003/09/30 · arxiv updated 2009/11/30
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 \citeCP2, \citeCP3.