Statements (12)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematics
|
| gptkbp:concerns |
gptkb:Lie_algebras
gptkb:Lie_groups |
| gptkbp:field |
gptkb:Lie_theory
|
| gptkbp:firstTheorem |
The Lie algebra of a Lie group is a finite-dimensional real Lie algebra.
|
| https://www.w3.org/2000/01/rdf-schema#label |
Lie's three theorems
|
| gptkbp:namedAfter |
gptkb:Sophus_Lie
|
| gptkbp:numberOfTheorems |
three
|
| gptkbp:secondTheorem |
Every finite-dimensional real Lie algebra is the Lie algebra of some local Lie group.
|
| gptkbp:thirdTheorem |
A homomorphism of Lie algebras comes from a local homomorphism of Lie groups.
|
| gptkbp:bfsParent |
gptkb:Lie's_first_theorem
|
| gptkbp:bfsLayer |
6
|