On Chevalley's \(\mathbb{Z}\)-form (Q308329)
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scientific article; zbMATH DE number 6623635
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On Chevalley's \(\mathbb{Z}\)-form |
scientific article; zbMATH DE number 6623635 |
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On Chevalley's \(\mathbb{Z}\)-form (English)
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6 September 2016
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\textit{C. Chevalley} [Tohoku Math. J. (2) 7, 14--66 (1955; Zbl 0066.01503)] famously found, for each complex semisimple Lie algebra, a basis for which the structure constants of the algebra with respect to the basis are integers. This basis, now called a Chevalley basis, has had a major impact in the ensuing years. Other proofs and generalizations appear in the literature. In the present paper, the author provides a new proof for this result.
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Chevalley basis
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semisimple Lie algebras
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