ad-nilpotent ideals of a Borel subalgebra III
P. Cellini, P. Papi
Abstract
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 CP2, CP3.
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