ad-nilpotent ideals of a Borel subalgebra III

Details ad-nilpotent ideals of a Borel subalgebra III ad-nilpotent ideals of a Borel subalgebra III

2003-03-05

arxiv.org/abs/math/0303065v2

Mathematics

Representation Theory

AmsTex file, 38 pages; revised version. To appear in Advances in Mathematics under the title "Abelian ideals of Borel subalgeb

Scientific paper

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}.

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