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On semisimple Lie algebras over algebraically closed fields

Name: On semisimple Lie algebras over algebraically closed fields
Creator: Hirai, Takeshi
Keywords: complex semisimple Lie algebra, root vectors, Chevalley basis, standard representatives, 17B20, Simple, semisimple, reductive (super)algebras, nilpotent classes

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jan 1984Publisher:Project EuclidJournal:Proceedings of the Japan Academy, Series A, Mathematical Sciences, volume 60 (issn: 0386-2194,

Authors: Hirai, Takeshi;

doi: 10.3792/pjaa.60.225

On semisimple Lie algebras over algebraically closed fields

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Abstract

The author studies so-called standard representatives, and their adjoint actions, of nilpotent classes of a Lie algebra over an algebraically closed field obtained from a Chevalley basis of a complex semisimple Lie algebra; they are a special kind of sums of distinct root vectors from a Chevalley basis. Various results depending on the characteristic and the type are stated; there are no proofs.

Related Organizations

Kyoto University
Japan

Keywords

complex semisimple Lie algebra, root vectors, Chevalley basis, standard representatives, 17B20, Simple, semisimple, reductive (super)algebras, nilpotent classes

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