Using Cartan subalgebras to calculate nilradicals and Levi subalgebras of Lie algebras (Q1294789)
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scientific article; zbMATH DE number 1324424
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Using Cartan subalgebras to calculate nilradicals and Levi subalgebras of Lie algebras |
scientific article; zbMATH DE number 1324424 |
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Using Cartan subalgebras to calculate nilradicals and Levi subalgebras of Lie algebras (English)
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16 August 1999
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The author continues his studies in Lie algebra computations by investigating the structure of a non-semisimple Lie algebra of characteristic 0, by using the action of a Cartan subalgebra. He gives an algorithm for calculating the nilradical and an algorithm for finding a Levi subalgebra. Implementations of these algorithms using the library of Lie algebra functions in the package ELIAS which is built into the computer algebra packages GAP and MAGMA are discussed.
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non-semisimple Lie algebra
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Cartan subalgebra
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algorithm
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nilradical
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Levi subalgebra
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