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arXiv:math/0106057 [math.RT]AbstractReferencesReviewsResources

ad-Nilpotent ideals of a Borel subalgebra II

Paola Cellini, Paolo Papi

Published 2001-06-08, updated 2001-12-17Version 2

We provide an explicit bijection between the ad-nilpotent ideals of a Borel subalgebra of a simple Lie algebra g and the orbits of \check{Q}/(h+1)\check{Q} under the Weyl group (\check{Q} being the coroot lattice and h the Coxeter number of g). From this result we deduce in a uniform way a counting formula for the ad-nilpotent ideals.

Comments: AMS-TeX file, 9 pages; revised version. To appear in Journal of Algebra
Journal: J. Algebra 258 (2002), no. 1, 112--121.
Categories: math.RT
Subjects: 17B20, 20F55
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