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bn:02135577n
Noun Concept
Categories: Lie algebras
EN
Levi decomposition  Levi decomposition theorem  Levi's decomposition  Levi's theorem  Levi factor
EN
In Lie theory and representation theory, the Levi decomposition, conjectured by Wilhelm Killing and Élie Cartan and proved by Eugenio Elia Levi, states that any finite-dimensional real{Change real Lie algebra to a Lie algebra over a field of characteristic 0} Lie algebra g is the semidirect product of a solvable ideal and a semisimple subalgebra. Wikipedia
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EN
In Lie theory and representation theory, the Levi decomposition, conjectured by Wilhelm Killing and Élie Cartan and proved by Eugenio Elia Levi, states that any finite-dimensional real{Change real Lie algebra to a Lie algebra over a field of characteristic 0} Lie algebra g is the semidirect product of a solvable ideal and a semisimple subalgebra. Wikipedia
a finite dimensional Lie algebra is a semidirect product of a normal solvable ideal and a semisimple subalgebra Wikidata
IS A
theorem
NAMED AFTER
Eugenio Elia Levi
PROVED BY
Eugenio Elia Levi
STATEMENT DESCRIBES
Lie algebra
Wikipedia
EN
Levi decomposition
Wikidata
EN
Levi decomposition theorem
Wikipedia Redirections
EN
Levi's decomposition, Levi's theorem, Levi factor, Levi group, Levi subalgebra, Levi subgroup, Levi theorem
Wikidata Alias
EN
Levi decomposition

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