Levi decomposition
In Lie theory and representation theory, the Levi decomposition, conjectured by Killing and Cartan and proved by Eugenio Elia Levi (), states that any finite-dimensional real Lie algebra g is the semidirect product of a solvable ideal and a semisimple subalgebra.One is its radical, a maximal solvable ideal, and the other is a semisimple subalgebra, called a Levi subalgebra. The Levi decomposition implies that any finite-dimensional Lie algebra is a semidirect product of a solvable Lie algebra and a semisimple Lie algebra. where z is in the nilradical (Levi–Malcev theorem).
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Levi decomposition
In Lie theory and representation theory, the Levi decomposition, conjectured by Killing and Cartan and proved by Eugenio Elia Levi (), states that any finite-dimensional real Lie algebra g is the semidirect product of a solvable ideal and a semisimple subalgebra.One is its radical, a maximal solvable ideal, and the other is a semisimple subalgebra, called a Levi subalgebra. The Levi decomposition implies that any finite-dimensional Lie algebra is a semidirect product of a solvable Lie algebra and a semisimple Lie algebra. where z is in the nilradical (Levi–Malcev theorem).
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Der Satz von Levi, benannt nac ...... t man auch die Levi-Zerlegung.
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In Lie theory and representati ...... radical (Levi–Malcev theorem).
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739,918,440
author
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Eugenio Elia Levi
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Levi%E2%80%93Mal%27tsev_decomposition&oldid=32912
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Levi-Mal'tsev decomposition
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Der Satz von Levi, benannt nac ...... t man auch die Levi-Zerlegung.
@de
In Lie theory and representati ...... radical (Levi–Malcev theorem).
@en
label
Levi decomposition
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Satz von Levi (Lie-Algebra)
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