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Induced nilpotent orbits of the simple Lie algebras of exceptional type

By W. A. de Graaf and A. G. Elashvili

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.Comment: corrected some minor errors, added partial proof of a conjectur

Topics: Mathematics - Representation Theory, Mathematics - Rings and Algebras, 17B20, 68W30
Year: 2009
OAI identifier: oai:arXiv.org:0905.2743

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