On semisimple Lie algebras over algebraically closed fields (Q1070027)
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scientific article; zbMATH DE number 3933281
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On semisimple Lie algebras over algebraically closed fields |
scientific article; zbMATH DE number 3933281 |
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On semisimple Lie algebras over algebraically closed fields (English)
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1984
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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.
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standard representatives
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nilpotent classes
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complex semisimple Lie algebra
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root vectors
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Chevalley basis
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