Statements (29)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:group_of_people
gptkb:Lie_group |
| gptkbp:application |
differential geometry
physics representation theory algebraic groups |
| gptkbp:centralTo |
{I, -I}
|
| gptkbp:defines |
The group of 3x3 real matrices with determinant 1
|
| gptkbp:degree |
3
|
| gptkbp:dimensions |
8
|
| gptkbp:field |
ℝ
|
| gptkbp:fullName |
Special Linear Group of degree 3 over the real numbers
|
| https://www.w3.org/2000/01/rdf-schema#label |
SL(3,ℝ)
|
| gptkbp:Lie_algebra |
sl(3,ℝ)
|
| gptkbp:maximalCompactSubgroup |
gptkb:SO(3)
|
| gptkbp:notation |
gptkb:SL(3,R)
SL_3(ℝ) |
| gptkbp:order |
infinite
|
| gptkbp:rank |
2
|
| gptkbp:relatedGroup |
gptkb:SL(2,ℝ)
gptkb:SL(3,ℂ) simple non-abelian connected non-compact GL(3,ℝ) |
| gptkbp:topology |
real manifold
|
| gptkbp:bfsParent |
gptkb:Haagerup_property
|
| gptkbp:bfsLayer |
6
|