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arXiv:math/0303065 [math.RT]AbstractReferencesReviewsResources

ad-nilpotent ideals of a Borel subalgebra III

P. Cellini, P. Papi

Published 2003-03-05, updated 2003-09-30Version 2

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}.

Comments: AmsTex file, 38 pages; revised version. To appear in Advances in Mathematics under the title "Abelian ideals of Borel subalgebras and affine Weyl groups"
Categories: math.RT
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