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ad-Nilpotent ideals of a Borel subalgebra

✍ Scribed by Paola Cellini; Paolo Papi

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
521 KB
Volume
225
Category
Article
ISSN
0021-8693

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πŸ“œ SIMILAR VOLUMES

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✍ Paola Cellini; Paolo Papi πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 125 KB

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-n

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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)