Source
Lie's theorem, Wikipedia
Web Source
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URLhttps://en.wikipedia.org/wiki/Lie%27s_theorem
Sources
Lie's theorem, Wikipedia
Lead sectionQuote, Lead section
This is a generalization of the result of Frobenius that commuting matrices are simultaneously upper triangularizable, as commuting matrices generate an abelian Lie algebra, which is a fortiori solvable.
Claims Backed By This Source (7 claims)
This source backs 7 claims across the atlas. As facts: 3 well-attested. As cited relationships: 3 holds. Plus 1 entities citing it as a general reference with no single fact or relationship attached.
Disposition By Topic
- Theorems, 6 claims: 2 well-attested, 3 holds, 1 general references.
- Sources, 1 claims: 1 well-attested.
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