Facts
Citation
URLhttps://en.wikipedia.org/wiki/Levi_decomposition
Sources
Levi decomposition, Wikipedia
Lead sectionQuote, Lead section
In Lie theory and representation theory, the Levi decomposition, conjectured by Wilhelm Killing and Élie Cartan and proved by Eugenio Elia Levi (1905), states that any finite-dimensional Lie algebra g over a field of characteristic zero is the semidirect product of a solvable ideal and a semisimple subalgebra.
Claims Backed By This Source (9 claims)
This source backs 9 claims across the atlas. As facts: 4 well-attested. As cited relationships: 3 holds. Plus 2 entities citing it as a general reference with no single fact or relationship attached.
Disposition By Topic
- Theorems, 8 claims: 3 well-attested, 3 holds, 2 general references.
- Sources, 1 claims: 1 well-attested.
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