Special Linear Group of 2x2 real matrices
GPTKB entity
Statements (27)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:group_of_people
gptkb:Lie_group |
| gptkbp:abbreviation |
gptkb:SL(2,_R)
|
| gptkbp:actsOn |
gptkb:hyperbolic_plane
real projective line |
| gptkbp:centralTo |
{±I}
|
| gptkbp:compact |
true
|
| gptkbp:definedIn |
set of 2x2 real matrices with determinant 1
|
| gptkbp:determinant |
1
|
| gptkbp:dimensions |
3
|
| gptkbp:field |
real numbers
|
| gptkbp:hasApplication |
gptkb:geometry
partial differential equations physics representation theory |
| gptkbp:hasConnection |
true
|
| gptkbp:hasSubgroup |
gptkb:General_Linear_Group_of_2x2_real_matrices
|
| https://www.w3.org/2000/01/rdf-schema#label |
Special Linear Group of 2x2 real matrices
|
| gptkbp:identityElement |
2x2 identity matrix
|
| gptkbp:isMatrixGroup |
true
|
| gptkbp:isNonAbelian |
true
|
| gptkbp:isSimple |
true
|
| gptkbp:Lie_algebra |
gptkb:sl(2,_R)
|
| gptkbp:realForm |
gptkb:SL(2,_C)
|
| gptkbp:universalCover |
universal covering group of SL(2, R)
|
| gptkbp:bfsParent |
gptkb:SL(2,ℝ)
|
| gptkbp:bfsLayer |
6
|