Nonsolvable subalgebras of \(\mathfrak{gl}(4, \mathbb R)\) (Q670553)
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scientific article; zbMATH DE number 7037542
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Nonsolvable subalgebras of \(\mathfrak{gl}(4, \mathbb R)\) |
scientific article; zbMATH DE number 7037542 |
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Nonsolvable subalgebras of \(\mathfrak{gl}(4, \mathbb R)\) (English)
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18 March 2019
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Summary: All the simple and then semisimple subalgebras of \(\mathfrak{gl}(4, \mathbb R)\) are found. Each such semisimple subalgebra acts by commutator on \(\mathfrak{gl}(4, \mathbb R)\). In each case the invariant subspaces are found and the results are used to determine all possible subalgebras of \(\mathfrak{gl}(4, \mathbb R)\) that are not solvable.
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