Calculating the structure of a semisimple Lie algebra (Q1358916)
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scientific article; zbMATH DE number 1025701
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Calculating the structure of a semisimple Lie algebra |
scientific article; zbMATH DE number 1025701 |
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Calculating the structure of a semisimple Lie algebra (English)
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5 April 1998
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The article presents several algorithms for finite-dimensional (semisimple) Lie algebras over a field of characteristic zero, which allows one to find a Cartan subalgebra; to decompose a semisimple Lie algebra into a direct sum of simple ideals; to obtain the type of a semisimple Lie algebra with rational structure constants. The last algorithm is new and based on a modular approach. The main assumption for these algorithms is that the Lie algebra is presented by a table of structure constants.
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semisimple Lie algebras
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Cartan subalgebra
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structure constants
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algorithms
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