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Ad-nilpotent ideals of a Borel subalgebra II

✍ Scribed by Paola Cellini; Paolo Papi

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
125 KB
Volume
258
Category
Article
ISSN
0021-8693

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✦ Synopsis

We provide an explicit bijection between the ad-nilpotent ideals of a Borel subalgebra of a simple Lie algebra g and the orbits of Q/(h + 1) Q under the Weyl group ( 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.

πŸ“œ SIMILAR VOLUMES

Enumeration of ad-Nilpotent b-Ideals for
Enumeration of ad-Nilpotent b-Ideals for Simple Lie Algebras
✍ Christian Krattenthaler; Luigi Orsina; Paolo Papi πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 331 KB

We provide explicit formulas for the number of ad-nilpotent ideals of a Borel subalgebra of a complex simple Lie algebra having fixed class of nilpotence.  2002 Elsevier Science (USA)