Statements (31)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:group_of_people
|
| gptkbp:actsOn |
gptkb:hyperbolic_plane
upper half-plane |
| gptkbp:centralTo |
trivial
|
| gptkbp:compact |
true
|
| gptkbp:dimensions |
3
|
| gptkbp:fullName |
gptkb:Projective_Special_Linear_Group_of_2x2_Real_Matrices
|
| gptkbp:hasConnection |
true
|
| gptkbp:hasSubgroup |
gptkb:PSL_2(Z)
|
| https://www.w3.org/2000/01/rdf-schema#label |
PSL 2(R)
|
| gptkbp:isConnectedLieGroup |
true
|
| gptkbp:isLocallyIsomorphicTo |
gptkb:SL_2(R)
|
| gptkbp:isMatrixGroup |
true
|
| gptkbp:isNonAbelian |
true
|
| gptkbp:isNonCompactSimpleLieGroup |
true
|
| gptkbp:isomorphicTo |
orientation-preserving isometries of the hyperbolic plane
|
| gptkbp:isProjectiveGroup |
true
|
| gptkbp:isQuotientOf |
gptkb:SL_2(R)
true {±I} |
| gptkbp:isRealLieGroup |
true
|
| gptkbp:isSimple |
true
|
| gptkbp:isSpecialLinearGroup |
false
|
| gptkbp:realForm |
gptkb:PSL_2(C)
|
| gptkbp:universalCover |
gptkb:SL_2(R)
|
| gptkbp:usedIn |
gptkb:hyperbolic_geometry
modular forms automorphic forms theory of Fuchsian groups |
| gptkbp:bfsParent |
gptkb:SL_2(R)
|
| gptkbp:bfsLayer |
7
|