Induced nilpotent orbits of the simple Lie algebras of exceptional type

Abstract

We describe algorithms for computing the induced nilpotent orbits in semisimple Lie algebras. We use them to obtain the induction tables for the Lie algebras of exceptional type. This also yields the classification of the rigid nilpotent orbits in those Lie algebras.

arXiv commentcorrected some minor errors, added partial proof of a conjecture

Cited by in corpus (7)

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• Rigid orbits and sheets in reductive Lie algebras over fields of prime characteristic
• Screening operators and Parabolic inductions for Affine W-algebras (with an appendix by Shigenori Nakatsuka)
• Quantizations of regular functions on nilpotent orbits
• Masses, Sheets and Rigid SCFTs
• Computations with reachable elements in simple Lie algebras