Statements (16)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:defines |
A maximal solvable subalgebra of a Lie algebra
|
| gptkbp:example |
The subalgebra of upper triangular matrices in gl(n,C)
|
| gptkbp:field |
gptkb:mathematics
|
| gptkbp:hasSubfield |
Lie algebra theory
|
| https://www.w3.org/2000/01/rdf-schema#label |
Borel subalgebra
|
| gptkbp:namedAfter |
gptkb:Émile_Borel
|
| gptkbp:property |
Contains a Cartan subalgebra
All Borel subalgebras of a finite-dimensional semisimple Lie algebra are conjugate |
| gptkbp:relatedTo |
Cartan subalgebra
semisimple Lie algebra solvable Lie algebra |
| gptkbp:usedIn |
representation theory
algebraic group theory |
| gptkbp:bfsParent |
gptkb:Lie_theory
|
| gptkbp:bfsLayer |
5
|