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ad-Nilpotent ideals of a Borel subalgebra II

Paola Cellini·Paolo Papi
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Abstract

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.

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BibTeXRIS

Paola Cellini, Paolo Papi. 2001-12-17. ad-Nilpotent ideals of a Borel subalgebra II. https://arxiv.org/abs/math/0106057

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