Projective Special Linear Group of 2x2 real matrices
GPTKB entity
Statements (24)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:group_of_people
|
| gptkbp:abbreviation |
gptkb:PSL(2,_R)
|
| gptkbp:actsOn |
gptkb:hyperbolic_plane
|
| gptkbp:center_of_SL(2,_R) |
{±I}
|
| gptkbp:connectedTo |
yes
|
| gptkbp:defines |
quotient of SL(2, R) by its center
|
| gptkbp:dimensions |
3
|
| gptkbp:field |
real numbers
|
| gptkbp:heldBy |
gptkb:Lie_group
|
| https://www.w3.org/2000/01/rdf-schema#label |
Projective Special Linear Group of 2x2 real matrices
|
| gptkbp:is_non-compact |
yes
|
| gptkbp:isNonAbelian |
yes
|
| gptkbp:isSimple |
yes
|
| gptkbp:order |
infinite
|
| gptkbp:relatedTo |
gptkb:SL(2,_R)
gptkb:PSL(2,_C) modular group |
| gptkbp:used_in |
gptkb:geometry
differential geometry number theory representation theory |
| gptkbp:bfsParent |
gptkb:PSL(2,R)
gptkb:PSL(2,ℝ) |
| gptkbp:bfsLayer |
7
|