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On spherical ideals of Borel subalgebras

✍ Scribed by Dmitri Panyushev; Gerhard Röhrle

Publisher
Springer
Year
2005
Tongue
English
Weight
102 KB
Volume
84
Category
Article
ISSN
0003-889X

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📜 SIMILAR VOLUMES

Ad-nilpotent ideals of a Borel subalgebr
Ad-nilpotent ideals of a Borel subalgebra II
✍ Paola Cellini; Paolo Papi 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 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